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42655641504 = 2537213169221
BaseRepresentation
bin100111101110011110…
…010110111110100000
311002002202010002210020
4213232132112332200
51144324321012004
631332402233440
73040021653600
oct475636267640
9132082102706
1042655641504
11170a9aa7893
128325355880
13403a307678
1420c9174c00
151199c088d9
hex9ee796fa0

42655641504 has 144 divisors (see below), whose sum is σ = 131248234656. Its totient is φ = 12094118400.

The previous prime is 42655641499. The next prime is 42655641521. The reversal of 42655641504 is 40514655624.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581614 + ... + 650834.

It is an arithmetic number, because the mean of its divisors is an integer number (911446074).

Almost surely, 242655641504 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 42655641504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65624117328).

42655641504 is an abundant number, since it is smaller than the sum of its proper divisors (88592593152).

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

42655641504 is a wasteful number, since it uses less digits than its factorization.

42655641504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69379 (or 69364 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 42655641504 in words is "forty-two billion, six hundred fifty-five million, six hundred forty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 131 147 168 196 224 262 294 336 392 393 524 588 672 784 786 917 1048 1176 1568 1572 1834 2096 2352 2751 3144 3668 4192 4704 5502 6288 6419 7336 11004 12576 12838 14672 19257 22008 25676 29344 38514 44016 51352 69221 77028 88032 102704 138442 154056 205408 207663 276884 308112 415326 484547 553768 616224 830652 969094 1107536 1453641 1661304 1938188 2215072 2907282 3322608 3391829 3876376 5814564 6645216 6783658 7752752 9067951 10175487 11629128 13567316 15505504 18135902 20350974 23258256 27134632 27203853 36271804 40701948 46516512 54269264 54407706 63475657 72543608 81403896 108538528 108815412 126951314 145087216 162807792 190426971 217630824 253902628 290174432 325615584 380853942 435261648 444329599 507805256 761707884 870523296 888659198 1015610512 1332988797 1523415768 1777318396 2031221024 2665977594 3046831536 3554636792 5331955188 6093663072 7109273584 10663910376 14218547168 21327820752 42655641504