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12495944496 = 2437107503691
BaseRepresentation
bin10111010001101000…
…01111101100110000
31012020212022202022010
423220310033230300
5201042430210441
65423543242520
7621442530030
oct135064175460
935225282263
1012495944496
1153326a9062
122508a49440
131241b299c9
148678398c0
154d2087116
hex2e8d0fb30

12495944496 has 160 divisors (see below), whose sum is σ = 37365608448. Its totient is φ = 3524762880.

The previous prime is 12495944443. The next prime is 12495944497. The reversal of 12495944496 is 69444959421.

12495944496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124959444962 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12495944497) by changing a digit.

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, 18083511 + ... + 18084201.

Almost surely, 212495944496 is an apocalyptic number.

12495944496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12495944496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18682804224).

12495944496 is an abundant number, since it is smaller than the sum of its proper divisors (24869663952).

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

12495944496 is a wasteful number, since it uses less digits than its factorization.

12495944496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1313 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 57.

The spelling of 12495944496 in words is "twelve billion, four hundred ninety-five million, nine hundred forty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 107 112 168 214 321 336 428 503 642 691 749 856 1006 1284 1382 1498 1509 1712 2012 2073 2247 2568 2764 2996 3018 3521 4024 4146 4494 4837 5136 5528 5992 6036 7042 8048 8292 8988 9674 10563 11056 11984 12072 14084 14511 16584 17976 19348 21126 24144 28168 29022 33168 35952 38696 42252 53821 56336 58044 73937 77392 84504 107642 116088 147874 161463 169008 215284 221811 232176 295748 322926 347573 376747 430568 443622 517559 591496 645852 695146 753494 861136 887244 1035118 1042719 1130241 1182992 1291704 1390292 1506988 1552677 1774488 2070236 2085438 2260482 2433011 2583408 2780584 3013976 3105354 3548976 4140472 4170876 4520964 4866022 5561168 6027952 6210708 7299033 8280944 8341752 9041928 9732044 12421416 14598066 16683504 18083856 19464088 24842832 29196132 37190311 38928176 58392264 74380622 111570933 116784528 148761244 223141866 260332177 297522488 446283732 520664354 595044976 780996531 892567464 1041328708 1561993062 1785134928 2082657416 3123986124 4165314832 6247972248 12495944496