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642623060976 = 2431317370916333
BaseRepresentation
bin10010101100111110101…
…00011011101111110000
32021102201111122220012020
421112133110123233300
541012043000422401
61211114510231440
764266540614631
oct11263724335760
92242644586166
10642623060976
11228597a68126
12a46651b5580
13487a3298450
1423162d77888
1511ab1c8cd36
hex959f51bbf0

642623060976 has 160 divisors (see below), whose sum is σ = 1893601926720. Its totient is φ = 186037420032.

The previous prime is 642623060903. The next prime is 642623060977. The reversal of 642623060976 is 679060326246.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642623060977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39336906 + ... + 39353238.

It is an arithmetic number, because the mean of its divisors is an integer number (11835012042).

Almost surely, 2642623060976 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 642623060976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946800963360).

642623060976 is an abundant number, since it is smaller than the sum of its proper divisors (1250978865744).

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

642623060976 is a wasteful number, since it uses less digits than its factorization.

642623060976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20083 (or 20077 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 51.

The spelling of 642623060976 in words is "six hundred forty-two billion, six hundred twenty-three million, sixty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1326 1768 2652 3536 3709 5304 7418 10608 11127 14836 16333 22254 29672 32666 44508 48217 48999 59344 63053 65332 89016 96434 97998 126106 130664 144651 178032 189159 192868 195996 212329 252212 261328 277661 289302 378318 385736 391992 424658 504424 555322 578604 636987 756636 771472 783984 819689 832983 849316 1008848 1110644 1157208 1273974 1513272 1639378 1665966 1698632 2221288 2314416 2459067 2547948 3026544 3278756 3331932 3397264 3609593 4442576 4918134 5095896 6557512 6663864 7219186 9836268 10191792 10828779 13115024 13327728 14438372 19672536 21657558 28876744 39345072 43315116 57753488 60579097 86630232 121158194 173260464 181737291 242316388 363474582 484632776 726949164 787528261 969265552 1029844649 1453898328 1575056522 2059689298 2362584783 2907796656 3089533947 3150113044 4119378596 4725169566 6179067894 6300226088 8238757192 9450339132 12358135788 12600452176 13387980437 16477514384 18900678264 24716271576 26775960874 37801356528 40163941311 49432543152 53551921748 80327882622 107103843496 160655765244 214207686992 321311530488 642623060976