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634434402432556 = 2211210164794121317
BaseRepresentation
bin1001000001000000111100010…
…1001100001011011000101100
310002012100100002100002122122001
42100100033011030023120230
51131124033124010320211
610125155050233302044
7250430241632501635
oct22020170514133054
93065310070078561
10634434402432556
11174172134558800
125b1a5779864924
1321300ba484ccab
14b294b08b1488c
154d53164bddac1
hex24103c530b62c

634434402432556 has 144 divisors (see below), whose sum is σ = 1235726099125056. Its totient is φ = 284766412480000.

The previous prime is 634434402432529. The next prime is 634434402432629. The reversal of 634434402432556 is 655234204434436.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 634434402432497 and 634434402432506.

It is an unprimeable number.

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, 29761888410 + ... + 29761909726.

It is an arithmetic number, because the mean of its divisors is an integer number (8581431243924).

Almost surely, 2634434402432556 is an apocalyptic number.

It is an amenable number.

634434402432556 is a deficient number, since it is larger than the sum of its proper divisors (601291696692500).

634434402432556 is a wasteful number, since it uses less digits than its factorization.

634434402432556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23032 (or 23019 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 55.

The spelling of 634434402432556 in words is "six hundred thirty-four trillion, four hundred thirty-four billion, four hundred two million, four hundred thirty-two thousand, five hundred fifty-six".

Divisors: 1 2 4 11 22 44 101 121 202 242 404 484 647 941 1111 1294 1882 2222 2588 3764 4444 7117 10351 12221 14234 20702 21317 24442 28468 41404 42634 48884 65347 78287 85268 95041 113861 130694 156574 190082 227722 234487 261388 313148 380164 455444 468974 608827 718817 937948 1045451 1217654 1437634 2090902 2153017 2435308 2579357 2875268 4181804 4306034 5158714 6697097 7906987 8612068 10317428 11499961 13394194 13792099 15813974 20059297 22999922 23683187 26788388 27584198 31627948 40118594 45999844 47366374 55168396 61491527 73668067 80237188 94732748 122983054 147336134 151713089 220652267 245966108 260515057 294672268 303426178 441304534 521030114 606852356 676406797 882609068 1042060228 1352813594 1393001999 1668843979 2025988997 2427174937 2705627188 2786003998 3337687958 4051977994 4854349874 5572007996 6675375916 7440474767 8103955988 9708699748 12978365159 14880949534 15323021989 22285878967 25956730318 29761899068 30646043978 44571757934 51913460636 61292087956 89143515868 142762016749 168553241879 245144668637 285524033498 337106483758 490289337274 571048066996 674212967516 980578674548 1310814881059 1570382184239 2621629762118 3140764368478 5243259524236 6281528736956 14418963691649 28837927383298 57675854766596 158608600608139 317217201216278 634434402432556