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1553153042532 = 22372131271599889
BaseRepresentation
bin10110100110011111001…
…000101010100001100100
312111110221220110110120110
4112212133020222201210
5200421324134330112
63145301511533020
7220132403015100
oct26463710524144
95443856413513
101553153042532
11549763446a13
1221101798a170
13b3600493570
145525ca40900
152a60396413c
hex1699f22a864

1553153042532 has 144 divisors (see below), whose sum is σ = 4575736596480. Its totient is φ = 406397150208.

The previous prime is 1553153042531. The next prime is 1553153042549. The reversal of 1553153042532 is 2352403513551.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1553153042531) 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 47 ways as a sum of consecutive naturals, for example, 170844 + ... + 1770732.

Almost surely, 21553153042532 is an apocalyptic number.

1553153042532 is a gapful number since it is divisible by the number (12) 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 1553153042532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287868298240).

1553153042532 is an abundant number, since it is smaller than the sum of its proper divisors (3022583553948).

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

1553153042532 is a wasteful number, since it uses less digits than its factorization.

1553153042532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600050 (or 1600041 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 39.

The spelling of 1553153042532 in words is "one trillion, five hundred fifty-three billion, one hundred fifty-three million, forty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 127 147 156 182 196 254 273 294 364 381 508 546 588 637 762 889 1092 1274 1524 1651 1778 1911 2548 2667 3302 3556 3822 4953 5334 6223 6604 7644 9906 10668 11557 12446 18669 19812 23114 24892 34671 37338 46228 69342 74676 80899 138684 161798 242697 323596 485394 970788 1599889 3199778 4799667 6399556 9599334 11199223 19198668 20798557 22398446 33597669 41597114 44796892 62395671 67195338 78394561 83194228 124791342 134390676 145589899 156789122 203185903 235183683 249582684 291179798 313578244 406371806 436769697 470367366 582359596 609557709 812743612 873539394 940734732 1019129293 1219115418 1422301321 1747078788 2038258586 2438230836 2641416739 2844602642 3057387879 4076517172 4266903963 5282833478 5689205284 6114775758 7924250217 8533807926 9956109247 10565666956 12229551516 15848500434 17067615852 18489917173 19912218494 29868327741 31697000868 36979834346 39824436988 55469751519 59736655482 73959668692 110939503038 119473310964 129429420211 221879006076 258858840422 388288260633 517717680844 776576521266 1553153042532