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14961481600152 = 2331981619401993
BaseRepresentation
bin1101100110110111110111…
…0010111100110010011000
31221222022012101011221001210
43121231331302330302120
53430112103242201102
651453113150343120
73102634314200553
oct331557562746230
957868171157053
1014961481600152
11484914635567a
121817775abaaa0
13846b280b94c9
1439a1d4dbb69a
151ae2b0c9036c
hexd9b7dcbcc98

14961481600152 has 64 divisors (see below), whose sum is σ = 39372900336000. Its totient is φ = 4724608760064.

The previous prime is 14961481600147. The next prime is 14961481600157. The reversal of 14961481600152 is 25100618416941.

It is an interprime number because it is at equal distance from previous prime (14961481600147) and next prime (14961481600157).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14961481600157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37017268 + ... + 37419260.

It is an arithmetic number, because the mean of its divisors is an integer number (615201567750).

Almost surely, 214961481600152 is an apocalyptic number.

14961481600152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14961481600152 is an abundant number, since it is smaller than the sum of its proper divisors (24411418735848).

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

14961481600152 is a wasteful number, since it uses less digits than its factorization.

14961481600152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483640 (or 483636 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 14961481600152 in words is "fourteen trillion, nine hundred sixty-one billion, four hundred eighty-one million, six hundred thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 81619 163238 244857 326476 401993 489714 652952 803986 979428 1205979 1550761 1607972 1958856 2411958 3101522 3215944 4652283 4823916 6203044 7637867 9304566 9647832 12406088 15275734 18609132 22913601 30551468 37218264 45827202 61102936 91654404 183308808 32810266667 65620533334 98430800001 131241066668 196861600002 262482133336 393723200004 623395066673 787446400008 1246790133346 1870185200019 2493580266692 3740370400038 4987160533384 7480740800076 14961481600152