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199855907064 = 233311312713369
BaseRepresentation
bin1011101000100001010…
…1110010000011111000
3201002212022011000011000
42322020111302003320
511233301103011224
6231451301405000
720303421115662
oct2721025620370
9632768130130
10199855907064
11778384a4030
1232897409760
1315b0050ab98
14995ccd3532
1552ea9b00c9
hex2e885720f8

199855907064 has 128 divisors (see below), whose sum is σ = 625160448000. Its totient is φ = 58608748800.

The previous prime is 199855907039. The next prime is 199855907089. The reversal of 199855907064 is 460709558991.

199855907064 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 559 + 0 + 70 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (199855907039) and next prime (199855907089).

It is a junction number, because it is equal to n+sod(n) for n = 199855906992 and 199855907010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1283029 + ... + 1430340.

It is an arithmetic number, because the mean of its divisors is an integer number (4884066000).

Almost surely, 2199855907064 is an apocalyptic number.

It is an amenable number.

199855907064 is an abundant number, since it is smaller than the sum of its proper divisors (425304540936).

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

199855907064 is a wasteful number, since it uses less digits than its factorization.

199855907064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713426 (or 2713416 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 199855907064 in words is "one hundred ninety-nine billion, eight hundred fifty-five million, nine hundred seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 88 93 99 108 124 132 186 198 216 248 264 279 297 341 372 396 558 594 682 744 792 837 1023 1116 1188 1364 1674 2046 2232 2376 2728 3069 3348 4092 6138 6696 8184 9207 12276 18414 24552 36828 73656 2713369 5426738 8140107 10853476 16280214 21706952 24420321 29847059 32560428 48840642 59694118 65120856 73260963 84114439 89541177 97681284 119388236 146521926 168228878 179082354 195362568 238776472 252343317 268623531 293043852 336457756 358164708 504686634 537247062 586087704 672915512 716329416 757029951 805870593 925258829 1009373268 1074494124 1514059902 1611741186 1850517658 2018746536 2148988248 2271089853 2775776487 3028119804 3223482372 3701035316 4542179706 5551552974 6056239608 6446964744 7402070632 8327329461 9084359412 11103105948 16654658922 18168718824 22206211896 24981988383 33309317844 49963976766 66618635688 99927953532 199855907064