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190640155456 = 2629102715601
BaseRepresentation
bin1011000110001100001…
…0011110101101000000
3200020002001002022120101
42301203002132231000
511110412334433311
6223325012052144
716526145404332
oct2614302365500
9606061068511
10190640155456
1173939441493
1230b45004054
1314c92149b1a
149326d99452
154e5b8b6ec1
hex2c6309eb40

190640155456 has 28 divisors (see below), whose sum is σ = 391346443620. Its totient is φ = 92033177600.

The previous prime is 190640155417. The next prime is 190640155457. The reversal of 190640155456 is 654551046091.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 142159161600 + 48480993856 = 377040^2 + 220184^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190640155457) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51355945 + ... + 51359656.

Almost surely, 2190640155456 is an apocalyptic number.

190640155456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

190640155456 is an abundant number, since it is smaller than the sum of its proper divisors (200706288164).

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

190640155456 is a wasteful number, since it uses less digits than its factorization.

190640155456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102715642 (or 102715632 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 46.

The spelling of 190640155456 in words is "one hundred ninety billion, six hundred forty million, one hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 102715601 205431202 410862404 821724808 1643449616 2978752429 3286899232 5957504858 6573798464 11915009716 23830019432 47660038864 95320077728 190640155456