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132765550640 = 24519896131601
BaseRepresentation
bin111101110100101110…
…0011000100000110000
3110200200122210202220022
41323221130120200300
54133400440110030
6140554110303012
712410024363132
oct1735134304060
9420618722808
10132765550640
115133a768278
1221892ab7a68
13c69ab2c828
1465d68c3052
1536c0a45de5
hex1ee9718830

132765550640 has 160 divisors (see below), whose sum is σ = 329318654400. Its totient is φ = 49633689600.

The previous prime is 132765550613. The next prime is 132765550663. The reversal of 132765550640 is 46055567231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132765550591 and 132765550600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82925840 + ... + 82927440.

It is an arithmetic number, because the mean of its divisors is an integer number (2058241590).

Almost surely, 2132765550640 is an apocalyptic number.

132765550640 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 132765550640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164659327200).

132765550640 is an abundant number, since it is smaller than the sum of its proper divisors (196553103760).

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

132765550640 is a wasteful number, since it uses less digits than its factorization.

132765550640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 44.

The spelling of 132765550640 in words is "one hundred thirty-two billion, seven hundred sixty-five million, five hundred fifty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 89 95 152 178 190 304 356 380 445 613 712 760 890 1226 1424 1520 1601 1691 1780 2452 3065 3202 3382 3560 4904 6130 6404 6764 7120 8005 8455 9808 11647 12260 12808 13528 16010 16910 23294 24520 25616 27056 30419 32020 33820 46588 49040 54557 58235 60838 64040 67640 93176 109114 116470 121676 128080 135280 142489 152095 186352 218228 232940 243352 272785 284978 304190 436456 465880 486704 545570 569956 608380 712445 872912 931760 981413 1036583 1091140 1139912 1216760 1424890 1962826 2073166 2182280 2279824 2433520 2707291 2849780 3925652 4146332 4364560 4907065 5182915 5414582 5699560 7851304 8292664 9814130 10365830 10829164 11399120 13536455 15702608 16585328 18646847 19628260 20731660 21658328 27072910 37293694 39256520 41463320 43316656 54145820 74587388 78513040 82926640 87345757 93234235 108291640 149174776 174691514 186468470 216583280 298349552 349383028 372936940 436728785 698766056 745873880 873457570 1397532112 1491747760 1659569383 1746915140 3319138766 3493830280 6638277532 6987660560 8297846915 13276555064 16595693830 26553110128 33191387660 66382775320 132765550640