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381400919604 = 2232174314493119
BaseRepresentation
bin1011000110011010100…
…01000010111000110100
31100110110111010012011100
411203031101002320310
522222102113411404
6451114013210100
736361320216555
oct5431521027064
91313414105140
10381400919604
1113782996aa81
1261b02490930
1329c73274923
1414661d8c32c
159dc3b54d39
hex58cd442e34

381400919604 has 72 divisors (see below), whose sum is σ = 1044548144640. Its totient is φ = 116872503552.

The previous prime is 381400919597. The next prime is 381400919611. The reversal of 381400919604 is 406919004183.

381400919604 is a `hidden beast` number, since 38 + 1 + 4 + 0 + 0 + 9 + 1 + 9 + 604 = 666.

It is an interprime number because it is at equal distance from previous prime (381400919597) and next prime (381400919611).

It is a super-2 number, since 2×3814009196042 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 381400919604.

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 23 ways as a sum of consecutive naturals, for example, 7220244 + ... + 7272875.

It is an arithmetic number, because the mean of its divisors is an integer number (14507613120).

Almost surely, 2381400919604 is an apocalyptic number.

381400919604 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

381400919604 is an abundant number, since it is smaller than the sum of its proper divisors (663147225036).

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

381400919604 is a wasteful number, since it uses less digits than its factorization.

381400919604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14493189 (or 14493184 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 381400919604 in words is "three hundred eighty-one billion, four hundred million, nine hundred nineteen thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 43 51 68 86 102 129 153 172 204 258 306 387 516 612 731 774 1462 1548 2193 2924 4386 6579 8772 13158 26316 14493119 28986238 43479357 57972476 86958714 130438071 173917428 246383023 260876142 492766046 521752284 623204117 739149069 985532092 1246408234 1478298138 1869612351 2217447207 2492816468 2956596276 3739224702 4434894414 5608837053 7478449404 8869788828 10594469989 11217674106 21188939978 22435348212 31783409967 42377879956 63566819934 95350229901 127133639868 190700459802 381400919604