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10400071104 = 263218055679
BaseRepresentation
bin10011010111110010…
…00111110111000000
3222211210120100111200
421223321013313000
5132244404233404
64435553341200
7515503101003
oct115371076700
928753510450
1010400071104
114457629395
122022b67800
13c99855237
1470934553a
1540d087839
hex26be47dc0

10400071104 has 42 divisors (see below), whose sum is σ = 29809927680. Its totient is φ = 3466690176.

The previous prime is 10400071081. The next prime is 10400071153. The reversal of 10400071104 is 40117000401.

It is a super-2 number, since 2×104000711042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9027264 + ... + 9028415.

Almost surely, 210400071104 is an apocalyptic number.

It is an amenable number.

10400071104 is an abundant number, since it is smaller than the sum of its proper divisors (19409856576).

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

10400071104 is a wasteful number, since it uses less digits than its factorization.

10400071104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18055697 (or 18055684 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 10400071104 its reverse (40117000401), we get a palindrome (50517071505).

The spelling of 10400071104 in words is "ten billion, four hundred million, seventy-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 18055679 36111358 54167037 72222716 108334074 144445432 162501111 216668148 288890864 325002222 433336296 577781728 650004444 866672592 1155563456 1300008888 1733345184 2600017776 3466690368 5200035552 10400071104