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12497037168 = 2437117147623
BaseRepresentation
bin10111010001110000…
…11010011101110000
31012020221101021011110
423220320122131300
5201043220142133
65424022513320
7621455030460
oct135070323560
935227337143
1012497037168
115333284aa0
122509295840
131242120165
14867a41ba0
154d2200c63
hex2e8e1a770

12497037168 has 160 divisors (see below), whose sum is σ = 40817958912. Its totient is φ = 3200198400.

The previous prime is 12497037149. The next prime is 12497037173. The reversal of 12497037168 is 86173079421.

It is a happy number.

12497037168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 238605 + ... + 286227.

Almost surely, 212497037168 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 12497037168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20408979456).

12497037168 is an abundant number, since it is smaller than the sum of its proper divisors (28320921744).

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

12497037168 is a wasteful number, since it uses less digits than its factorization.

12497037168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47723 (or 47717 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 12497037168 in words is "twelve billion, four hundred ninety-seven million, thirty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 71 77 84 88 112 132 142 154 168 176 213 231 264 284 308 336 426 462 497 528 568 616 781 852 924 994 1136 1232 1491 1562 1704 1848 1988 2343 2982 3124 3408 3696 3976 4686 5467 5964 6248 7952 9372 10934 11928 12496 16401 18744 21868 23856 32802 37488 43736 47623 65604 87472 95246 131208 142869 190492 262416 285738 333361 380984 523853 571476 666722 761968 1000083 1047706 1142952 1333444 1571559 2000166 2095412 2285904 2666888 3143118 3381233 3666971 4000332 4190824 5333776 6286236 6762466 7333942 8000664 8381648 10143699 11000913 12572472 13524932 14667884 16001328 20287398 22001826 23668631 25144944 27049864 29335768 37193563 40574796 44003652 47337262 54099728 58671536 71005893 74387126 81149592 88007304 94674524 111580689 142011786 148774252 162299184 176014608 189349048 223161378 260354941 284023572 297548504 378698096 446322756 520709882 568047144 595097008 781064823 892645512 1041419764 1136094288 1562129646 1785291024 2082839528 3124259292 4165679056 6248518584 12497037168