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10055596155136 = 287223212312
BaseRepresentation
bin1001001001010100000000…
…1111001010000100000000
31022121022020210012120010021
42102111000033022010000
52304222330103431021
633215251015343224
72055331022021200
oct222250017120400
938538223176107
1010055596155136
113227610976274
121164a12981b14
1357c31440763c
1426a99cb86400
15126880c4cc41
hex925403ca100

10055596155136 has 243 divisors, whose sum is σ = 24428113783983. Its totient is φ = 4118821217280.

The previous prime is 10055596155133. The next prime is 10055596155161. The reversal of 10055596155136 is 63155169555001.

The square root of 10055596155136 is 3171056.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×100555961551362 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10055596155133) 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 26 ways as a sum of consecutive naturals, for example, 8168639641 + ... + 8168640871.

Almost surely, 210055596155136 is an apocalyptic number.

10055596155136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10055596155136 is the 3171056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10055596155136

10055596155136 is an abundant number, since it is smaller than the sum of its proper divisors (14372517628847).

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

10055596155136 is an frugal number, since it uses more digits than its factorization.

10055596155136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 3037500, while the sum is 52.

The spelling of 10055596155136 in words is "ten trillion, fifty-five billion, five hundred ninety-six million, one hundred fifty-five thousand, one hundred thirty-six".