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125573990997210 = 23572333230979433
BaseRepresentation
bin11100100011010101111001…
…001000000101110011011010
3121110121202102100012222102020
4130203111321020011303122
5112424401013143402320
61123023521200315310
735310264363005010
oct3443257110056332
9543552370188366
10125573990997210
11370146a3235538
12121010b7612b36
13550b765875052
142301b567008b0
15e7b703663940
hex723579205cda

125573990997210 has 128 divisors (see below), whose sum is σ = 345924826191360. Its totient is φ = 28578194927616.

The previous prime is 125573990997113. The next prime is 125573990997211. The reversal of 125573990997210 is 12799099375521.

It is not an unprimeable number, because it can be changed into a prime (125573990997211) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1580839654 + ... + 1580919086.

It is an arithmetic number, because the mean of its divisors is an integer number (2702537704620).

Almost surely, 2125573990997210 is an apocalyptic number.

125573990997210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125573990997210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172962413095680).

125573990997210 is an abundant number, since it is smaller than the sum of its proper divisors (220350835194150).

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

125573990997210 is a wasteful number, since it uses less digits than its factorization.

125573990997210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111992.

The product of its (nonzero) digits is 96446700, while the sum is 69.

The spelling of 125573990997210 in words is "one hundred twenty-five trillion, five hundred seventy-three billion, nine hundred ninety million, nine hundred ninety-seven thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 233 466 699 1165 1398 1631 2330 3262 3495 4893 6990 8155 9786 16310 24465 32309 48930 64618 79433 96927 158866 161545 193854 226163 238299 323090 397165 452326 476598 484635 556031 678489 794330 969270 1112062 1130815 1191495 1356978 1668093 2261630 2382990 2780155 3336186 3392445 5560310 6784890 7527997 8340465 15055994 16680930 18507889 22583991 37015778 37639985 45167982 52695979 55523667 75279970 92539445 105391958 111047334 112919955 129555223 158087937 185078890 225839910 259110446 263479895 277618335 316175874 388665669 526959790 555236670 647776115 777331338 790439685 1295552230 1580879370 1943328345 2566400797 3886656690 5132801594 7699202391 12832003985 15398404782 17964805579 25664007970 35929611158 38496011955 53894416737 76992023910 89824027895 107788833474 179648055790 269472083685 538944167370 597971385701 1195942771402 1793914157103 2989856928505 3587828314206 4185799699907 5979713857010 8371599399814 8969570785515 12557399099721 17939141571030 20928998499535 25114798199442 41857996999070 62786995498605 125573990997210