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23270506512 = 2431165367493
BaseRepresentation
bin10101101011000001…
…111100000000010000
32020001202120012202120
4111223001330000100
5340124222202022
614405035414240
71452444020211
oct255301740020
966052505676
1023270506512
119961659a70
1246152b4380
13226b1316a6
1411aa7c5408
15912e44d5c
hex56b07c010

23270506512 has 80 divisors (see below), whose sum is σ = 65681921088. Its totient is φ = 7040765440.

The previous prime is 23270506477. The next prime is 23270506543. The reversal of 23270506512 is 21560507232.

It is a super-2 number, since 2×232705065122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 311038 + ... + 378530.

Almost surely, 223270506512 is an apocalyptic number.

23270506512 is a gapful number since it is divisible by the number (22) 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 23270506512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32840960544).

23270506512 is an abundant number, since it is smaller than the sum of its proper divisors (42411414576).

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

23270506512 is a wasteful number, since it uses less digits than its factorization.

23270506512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68168 (or 68162 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 23270506512 in words is "twenty-three billion, two hundred seventy million, five hundred six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 653 1306 1959 2612 3918 5224 7183 7836 10448 14366 15672 21549 28732 31344 43098 57464 67493 86196 114928 134986 172392 202479 269972 344784 404958 539944 742423 809916 1079888 1484846 1619832 2227269 2969692 3239664 4454538 5939384 8909076 11878768 17818152 35636304 44072929 88145858 132218787 176291716 264437574 352583432 484802219 528875148 705166864 969604438 1057750296 1454406657 1939208876 2115500592 2908813314 3878417752 5817626628 7756835504 11635253256 23270506512