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11681058004 = 22711346710939
BaseRepresentation
bin10101110000011111…
…01100110011010100
31010011001222020011221
422320033230303110
5142410322324004
65211033340124
7562316232460
oct127017546324
933131866157
1011681058004
114a5471a850
12231bb67644
131142064055
147cb5174a0
1548576e354
hex2b83eccd4

11681058004 has 48 divisors (see below), whose sum is σ = 25495626240. Its totient is φ = 4549332960.

The previous prime is 11681057981. The next prime is 11681058017. The reversal of 11681058004 is 40085018611.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1062367 + ... + 1073305.

It is an arithmetic number, because the mean of its divisors is an integer number (531158880).

Almost surely, 211681058004 is an apocalyptic number.

11681058004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11681058004 is an abundant number, since it is smaller than the sum of its proper divisors (13814568236).

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

11681058004 is a wasteful number, since it uses less digits than its factorization.

11681058004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14428 (or 14426 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 34.

The spelling of 11681058004 in words is "eleven billion, six hundred eighty-one million, fifty-eight thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 3467 6934 10939 13868 21878 24269 38137 43756 48538 76274 76573 97076 120329 152548 153146 240658 266959 306292 481316 533918 842303 1067836 1684606 3369212 37925513 75851026 151702052 265478591 417180643 530957182 834361286 1061914364 1668722572 2920264501 5840529002 11681058004