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2066462334464 = 29114727728183
BaseRepresentation
bin11110000100100010110…
…000001101111000000000
321022112220022110021001012
4132010202300031320000
5232324103324200324
64221153015300052
7302203602012023
oct36044260157000
97275808407035
102066462334464
1172742212a430
122945b207a628
1311cb35ab52b8
14720357011ba
1538b47c4120e
hex1e122c0de00

2066462334464 has 160 divisors (see below), whose sum is σ = 4616847645696. Its totient is φ = 915964600320.

The previous prime is 2066462334457. The next prime is 2066462334527. The reversal of 2066462334464 is 4644332646602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73308917 + ... + 73337099.

Almost surely, 22066462334464 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 2066462334464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308423822848).

2066462334464 is an abundant number, since it is smaller than the sum of its proper divisors (2550385311232).

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

2066462334464 is a wasteful number, since it uses less digits than its factorization.

2066462334464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28536 (or 28520 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 50.

The spelling of 2066462334464 in words is "two trillion, sixty-six billion, four hundred sixty-two million, three hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 256 277 352 376 512 517 554 704 752 1034 1108 1408 1504 2068 2216 2816 3008 3047 4136 4432 5632 6016 6094 8272 8864 12032 12188 13019 16544 17728 24064 24376 26038 28183 33088 35456 48752 52076 56366 66176 70912 97504 104152 112732 132352 141824 143209 195008 208304 225464 264704 286418 310013 390016 416608 450928 572836 620026 780032 833216 901856 1145672 1240052 1324601 1560064 1666432 1803712 2291344 2480104 2649202 3332864 3607424 4582688 4960208 5298404 6665728 7214848 7806691 9165376 9920416 10596808 14429696 14570611 15613382 18330752 19840832 21193616 29141222 31226764 36661504 39681664 42387232 58282444 62453528 73323008 79363328 84774464 85873601 116564888 124907056 158726656 169548928 171747202 233129776 249814112 339097856 343494404 366914477 466259552 499628224 678195712 686988808 733828954 932519104 999256448 1373977616 1467657908 1865038208 1998512896 2747955232 2935315816 3730076416 3997025792 4036059247 5495910464 5870631632 7460152832 8072118494 10991820928 11741263264 16144236988 21983641856 23482526528 32288473976 43967283712 46965053056 64576947952 93930106112 129153895904 187860212224 258307791808 516615583616 1033231167232 2066462334464