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23835036996 = 22389532
BaseRepresentation
bin10110001100101011…
…011100110101000100
32021112002211100000000
4112030223130311010
5342303232140441
614541043321300
71502440320531
oct261453346504
967462740000
1023835036996
11a121291091
124752380230
13232b08b8b4
141221777d88
159477a82b6
hex58cadcd44

23835036996 has 81 divisors (see below), whose sum is σ = 62629511581. Its totient is φ = 7936675488.

The previous prime is 23835036937. The next prime is 23835037019. The reversal of 23835036996 is 69963053832.

The square root of 23835036996 is 154386.

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

It can be written as a sum of positive squares in only one way, i.e., 9926136900 + 13908900096 = 99630^2 + 117936^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25010056 + ... + 25011008.

Almost surely, 223835036996 is an apocalyptic number.

23835036996 is the 154386-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23835036996

23835036996 is an abundant number, since it is smaller than the sum of its proper divisors (38794474585).

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

23835036996 is an frugal number, since it uses more digits than its factorization.

23835036996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 23835036996 in words is "twenty-three billion, eight hundred thirty-five million, thirty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 953 972 1458 1906 2187 2859 2916 3812 4374 5718 6561 8577 8748 11436 13122 17154 25731 26244 34308 51462 77193 102924 154386 231579 308772 463158 694737 908209 926316 1389474 1816418 2084211 2724627 2778948 3632836 4168422 5449254 6252633 8173881 8336844 10898508 12505266 16347762 24521643 25010532 32695524 49043286 73564929 98086572 147129858 220694787 294259716 441389574 662084361 882779148 1324168722 1986253083 2648337444 3972506166 5958759249 7945012332 11917518498 23835036996