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132150662355520 = 2654159316985597
BaseRepresentation
bin11110000011000010111001…
…010010010101101001000000
3122022220110221212122210120101
4132003002321102111221000
5114310124024030334040
61145021102020052144
736556366415124454
oct3603027122255100
9568813855583511
10132150662355520
113911a865814716
12129a3825534054
1358979a5687743
14248c1aa378664
15104281e38e09a
hex7830b9495a40

132150662355520 has 112 divisors (see below), whose sum is σ = 322902604564848. Its totient is φ = 51484020899840.

The previous prime is 132150662355511. The next prime is 132150662355529. The reversal of 132150662355520 is 25553266051231.

It is an interprime number because it is at equal distance from previous prime (132150662355511) and next prime (132150662355529).

It can be written as a sum of positive squares in 8 ways, for example, as 21603606529024 + 110547055826496 = 4647968^2 + 10514136^2 .

It is a super-2 number, since 2×1321506623555202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132150662355529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 712639 + ... + 16272958.

It is an arithmetic number, because the mean of its divisors is an integer number (2883058969329).

Almost surely, 2132150662355520 is an apocalyptic number.

132150662355520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132150662355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161451302282424).

132150662355520 is an abundant number, since it is smaller than the sum of its proper divisors (190751942209328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132150662355520 is a wasteful number, since it uses less digits than its factorization.

132150662355520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16986248 (or 16986238 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 46.

The spelling of 132150662355520 in words is "one hundred thirty-two trillion, one hundred fifty billion, six hundred sixty-two million, three hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 593 656 820 1186 1312 1640 2372 2624 2965 3280 4744 5930 6560 9488 11860 13120 18976 23720 24313 37952 47440 48626 94880 97252 121565 189760 194504 243130 389008 486260 778016 972520 1556032 1945040 3890080 7780160 16985597 33971194 67942388 84927985 135884776 169855970 271769552 339711940 543539104 679423880 696409477 1087078208 1358847760 1392818954 2717695520 2785637908 3482047385 5435391040 5571275816 6964094770 10072459021 11142551632 13928189540 20144918042 22285103264 27856379080 40289836084 44570206528 50362295105 55712758160 80579672168 100724590210 111425516320 161159344336 201449180420 222851032640 322318688672 402898360840 412970819861 644637377344 805796721680 825941639722 1611593443360 1651883279444 2064854099305 3223186886720 3303766558888 4129708198610 6607533117776 8259416397220 13215066235552 16518832794440 26430132471104 33037665588880 66075331177760 132150662355520