Search a number
-
+
97138672784230 = 25711212401924809
BaseRepresentation
bin10110000101100011011100…
…000101011101001101100110
3110201221100220010100120211011
4112011203130011131031212
5100213010000213043410
6542332520142132434
726314015603122550
oct2605433405351546
9421840803316734
1097138672784230
1128a51309428800
12aa8a160b8111a
1342281a323146c
1419db7731804d0
15b36bee4d318a
hex5858dc15d366

97138672784230 has 96 divisors (see below), whose sum is σ = 219663741810240. Its totient is φ = 30274514688000.

The previous prime is 97138672784221. The next prime is 97138672784249. The reversal of 97138672784230 is 3248727683179.

It is a super-2 number, since 2×971386727842302 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 104574066 + ... + 105498874.

It is an arithmetic number, because the mean of its divisors is an integer number (2288163977190).

Almost surely, 297138672784230 is an apocalyptic number.

97138672784230 is an abundant number, since it is smaller than the sum of its proper divisors (122525069026010).

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

97138672784230 is a wasteful number, since it uses less digits than its factorization.

97138672784230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937246 (or 937235 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 67.

The spelling of 97138672784230 in words is "ninety-seven trillion, one hundred thirty-eight billion, six hundred seventy-two million, seven hundred eighty-four thousand, two hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 121 154 242 385 605 770 847 1210 1694 4235 8470 12401 24802 62005 86807 124010 136411 173614 272822 434035 682055 868070 924809 954877 1364110 1500521 1849618 1909754 3001042 4624045 4774385 6473663 7502605 9248090 9548770 10172899 10503647 12947326 15005210 20345798 21007294 32368315 50864495 52518235 64736630 71210293 101728990 105036470 111901889 142420586 223803778 356051465 559509445 712102930 783313223 1119018890 1566626446 3916566115 7833132230 11468556409 22937112818 57342782045 80279894863 114685564090 126154120499 160559789726 252308240998 401399474315 630770602495 802798948630 883078843493 1261541204990 1387695325489 1766157686986 2775390650978 4415394217465 6938476627445 8830788434930 9713867278423 13876953254890 19427734556846 48569336392115 97138672784230