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104346401364 = 22338910855847
BaseRepresentation
bin110000100101110000…
…1111011101001010100
3100222100002011102001000
41201023201323221110
53202200134320424
6115534105303300
710352541530412
oct1411341735124
9328302142030
10104346401364
1140286906847
1218281494b30
139abc12737a
14509c3c62b2
152aaaad73c9
hex184b87ba54

104346401364 has 48 divisors (see below), whose sum is σ = 273567369600. Its totient is φ = 34391320128.

The previous prime is 104346401363. The next prime is 104346401399. The reversal of 104346401364 is 463104643401.

104346401364 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 4 + 640 + 1 + 3 + 6 + 4 = 666.

It is a super-3 number, since 3×1043464013643 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104346401363) 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, 5418312 + ... + 5437535.

It is an arithmetic number, because the mean of its divisors is an integer number (5699320200).

Almost surely, 2104346401364 is an apocalyptic number.

It is an amenable number.

104346401364 is an abundant number, since it is smaller than the sum of its proper divisors (169220968236).

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

104346401364 is a wasteful number, since it uses less digits than its factorization.

104346401364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10855949 (or 10855941 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 104346401364 in words is "one hundred four billion, three hundred forty-six million, four hundred one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 89 108 178 267 356 534 801 1068 1602 2403 3204 4806 9612 10855847 21711694 32567541 43423388 65135082 97702623 130270164 195405246 293107869 390810492 586215738 966170383 1172431476 1932340766 2898511149 3864681532 5797022298 8695533447 11594044596 17391066894 26086600341 34782133788 52173200682 104346401364