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23253144135232 = 2611199769177953
BaseRepresentation
bin1010100100110000010110…
…11001010110011001000000
310001022222102121002020221011
411102120023121112121000
511021434414344311412
6121242202535010304
74616661405643534
oct522301331263100
9101288377066834
1023253144135232
11745566a724330
122736746b09994
13cc89ba3b166b
145a565b36bbc4
152a4d034597a7
hex15260b656640

23253144135232 has 112 divisors (see below), whose sum is σ = 52992850478400. Its totient is φ = 10012234383360.

The previous prime is 23253144135211. The next prime is 23253144135293.

23253144135232 is nontrivially palindromic in base 10.

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, 130581168 + ... + 130759120.

It is an arithmetic number, because the mean of its divisors is an integer number (473150450700).

Almost surely, 223253144135232 is an apocalyptic number.

23253144135232 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 23253144135232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26496425239200).

23253144135232 is an abundant number, since it is smaller than the sum of its proper divisors (29739706343168).

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

23253144135232 is a wasteful number, since it uses less digits than its factorization.

23253144135232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187764 (or 187754 counting only the distinct ones).

The product of its digits is 518400, while the sum is 40.

The spelling of 23253144135232 in words is "twenty-three trillion, two hundred fifty-three billion, one hundred forty-four million, one hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 418 608 704 836 1216 1672 3344 6688 9769 13376 19538 39076 78152 107459 156304 177953 185611 214918 312608 355906 371222 429836 625216 711812 742444 859672 1423624 1484888 1719344 1957483 2041721 2847248 2969776 3381107 3438688 3914966 4083442 5694496 5939552 6762214 6877376 7829932 8166884 11388992 11879104 13524428 15659864 16333768 27048856 31319728 32667536 37192177 54097712 62639456 65335072 74384354 108195424 125278912 130670144 148768708 216390848 297537416 595074832 1190149664 1738422857 2380299328 3476845714 6953691428 13907382856 19122651427 27814765712 33030034283 38245302854 55629531424 66060068566 76490605708 111259062848 132120137132 152981211416 264240274264 305962422832 363330377113 528480548528 611924845664 726660754226 1056961097056 1223849691328 1453321508452 2113922194112 2906643016904 5813286033808 11626572067616 23253144135232