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42652611897552 = 24331272518330871
BaseRepresentation
bin10011011001010110101011…
…10001111110100011010000
312121000112211212012020021000
421230223111301332203100
521042310022121210202
6230414201151102000
711661356325125166
oct1154532561764320
9177015755166230
1042652611897552
1112654964512818
12494a441511900
131aa517c6a6457
14a7657c79b236
154de75b88c91c
hex26cad5c7e8d0

42652611897552 has 160 divisors (see below), whose sum is σ = 123401696706560. Its totient is φ = 14104571160960.

The previous prime is 42652611897541. The next prime is 42652611897559. The reversal of 42652611897552 is 25579811625624.

42652611897552 is a `hidden beast` number, since 4 + 2 + 6 + 5 + 2 + 61 + 18 + 9 + 7 + 552 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42652611897552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42652611897559) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1381624677 + ... + 1381655547.

It is an arithmetic number, because the mean of its divisors is an integer number (771260604416).

Almost surely, 242652611897552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42652611897552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61700848353280).

42652611897552 is an abundant number, since it is smaller than the sum of its proper divisors (80749084809008).

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

42652611897552 is a wasteful number, since it uses less digits than its factorization.

42652611897552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56198 (or 56186 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 63.

The spelling of 42652611897552 in words is "forty-two trillion, six hundred fifty-two billion, six hundred eleven million, eight hundred ninety-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 127 144 216 254 381 432 508 762 1016 1143 1524 2032 2286 3048 3429 4572 6096 6858 9144 13716 18288 25183 27432 30871 50366 54864 61742 75549 92613 100732 123484 151098 185226 201464 226647 246968 277839 302196 370452 402928 453294 493936 555678 604392 679941 740904 833517 906588 1111356 1208784 1359882 1481808 1667034 1813176 2222712 2719764 3198241 3334068 3626352 3920617 4445424 5439528 6396482 6668136 7841234 9594723 10879056 11761851 12792964 13336272 15682468 19189446 23523702 25585928 28784169 31364936 35285553 38378892 47047404 51171856 57568338 62729872 70571106 76757784 86352507 94094808 105856659 115136676 141142212 153515568 172705014 188189616 211713318 230273352 282284424 345410028 423426636 460546704 564568848 690820056 777424393 846853272 1381640112 1554848786 1693706544 2332273179 3109697572 4664546358 6219395144 6996819537 9329092716 12438790288 13993639074 18658185432 20990458611 27987278148 37316370864 41980917222 55974556296 83961834444 98732897911 111949112592 167923668888 197465795822 296198693733 335847337776 394931591644 592397387466 789863183288 888596081199 1184794774932 1579726366576 1777192162398 2369589549864 2665788243597 3554384324796 4739179099728 5331576487194 7108768649592 10663152974388 14217537299184 21326305948776 42652611897552