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15453400640 = 265127380251
BaseRepresentation
bin11100110010001100…
…00010111001000000
31110212222022002102212
432121012002321000
5223122032310030
611033232001252
71054643511116
oct163106027100
943788262385
1015453400640
116610050697
122bb3390228
1315c3766862
14a68529ab6
15606a25595
hex399182e40

15453400640 has 56 divisors (see below), whose sum is σ = 37088259072. Its totient is φ = 6132672000.

The previous prime is 15453400637. The next prime is 15453400643. The reversal of 15453400640 is 4600435451.

It is an interprime number because it is at equal distance from previous prime (15453400637) and next prime (15453400643).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 15453400597 and 15453400606.

It is not an unprimeable number, because it can be changed into a prime (15453400643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149486 + ... + 230765.

Almost surely, 215453400640 is an apocalyptic number.

15453400640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15453400640 is an abundant number, since it is smaller than the sum of its proper divisors (21634858432).

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

15453400640 is a wasteful number, since it uses less digits than its factorization.

15453400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380395 (or 380385 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 15453400640 in words is "fifteen billion, four hundred fifty-three million, four hundred thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 160 254 320 508 635 1016 1270 2032 2540 4064 5080 8128 10160 20320 40640 380251 760502 1521004 1901255 3042008 3802510 6084016 7605020 12168032 15210040 24336064 30420080 48291877 60840160 96583754 121680320 193167508 241459385 386335016 482918770 772670032 965837540 1545340064 1931675080 3090680128 3863350160 7726700320 15453400640