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107098199578276 = 22372107213072
BaseRepresentation
bin11000010110011110111110…
…001001000101011010100100
3112001012111011200002221121121
4120112132332021011122210
5103014144103043001101
61015440122250023324
731362406140066154
oct3026367611053244
9461174150087547
10107098199578276
1131141100688085
1210018422417b44
13479b417273cba
141c6381ad22764
15c5ad0b11a0a1
hex6167be2456a4

107098199578276 has 81 divisors (see below), whose sum is σ = 194590142602401. Its totient is φ = 51575402740896.

The previous prime is 107098199578241. The next prime is 107098199578291. The reversal of 107098199578276 is 672875991890701.

The square root of 107098199578276 is 10348826.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 95832939724900 + 11265259853376 = 9789430^2 + 3356376^2 .

It is a super-2 number, since 2×1070981995782762 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107098199578196 and 107098199578205.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 81942003615 + ... + 81942004921.

Almost surely, 2107098199578276 is an apocalyptic number.

107098199578276 is the 10348826-th square number.

It is an amenable number.

107098199578276 is a deficient number, since it is larger than the sum of its proper divisors (87491943024125).

107098199578276 is an frugal number, since it uses more digits than its factorization.

107098199578276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 960180480, while the sum is 79.

The spelling of 107098199578276 in words is "one hundred seven trillion, ninety-eight billion, one hundred ninety-nine million, five hundred seventy-eight thousand, two hundred seventy-six".

Divisors: 1 2 4 37 74 107 148 214 428 1307 1369 2614 2738 3959 5228 5476 7918 11449 15836 22898 45796 48359 96718 139849 146483 193436 279698 292966 423613 559396 585932 847226 1694452 1708249 1789283 3416498 3578566 5174413 6832996 7157132 10348826 14963843 15673681 20697652 29927686 31347362 59855372 62694724 63205213 126410426 182782643 191453281 252820852 365565286 382906562 553662191 731130572 765813124 1107324382 2214648764 2338592881 4677185762 6762957791 9354371524 13525915582 19557742801 20485501067 27051831164 39115485602 40971002134 78230971204 81942004268 250229438267 500458876534 723636483637 1000917753068 1447272967274 2894545934548 26774549894569 53549099789138 107098199578276