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1055050005056 = 264719111631579
BaseRepresentation
bin11110101101001011110…
…00010111101001000000
310201212021020201102201012
433112211320113221000
5114241220300130211
62124403331100052
7136140060034415
oct17264570275100
93655236642635
101055050005056
1137749824a543
12150586141628
137864c354928
14390c973410c
151c69e63dd8b
hexf5a5e17a40

1055050005056 has 112 divisors (see below), whose sum is σ = 2152564899840. Its totient is φ = 512831316480.

The previous prime is 1055050005029. The next prime is 1055050005083. The reversal of 1055050005056 is 6505000505501.

1055050005056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1055050005029) and next prime (1055050005083).

It is a super-2 number, since 2×10550500050562 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 668175275 + ... + 668176853.

Almost surely, 21055050005056 is an apocalyptic number.

1055050005056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055050005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076282449920).

1055050005056 is an abundant number, since it is smaller than the sum of its proper divisors (1097514894784).

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

1055050005056 is a wasteful number, since it uses less digits than its factorization.

1055050005056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 32.

The spelling of 1055050005056 in words is "one trillion, fifty-five billion, fifty million, five thousand, fifty-six".

Divisors: 1 2 4 8 16 32 47 64 94 188 191 376 382 752 764 1163 1504 1528 1579 2326 3008 3056 3158 4652 6112 6316 8977 9304 12224 12632 17954 18608 25264 35908 37216 50528 54661 71816 74213 74432 101056 109322 143632 148426 218644 222133 287264 296852 301589 437288 444266 574528 593704 603178 874576 888532 1187408 1206356 1749152 1777064 1836377 2374816 2412712 3498304 3554128 3672754 4749632 4825424 7108256 7345508 9650848 10440251 14174683 14216512 14691016 19301696 20880502 28349366 29382032 41761004 56698732 58764064 83522008 86309719 113397464 117528128 167044016 172619438 226794928 334088032 345238876 350748007 453589856 668176064 690477752 701496014 907179712 1380955504 1402992028 2761911008 2805984056 5523822016 5611968112 11223936224 16485156329 22447872448 32970312658 65940625316 131881250632 263762501264 527525002528 1055050005056