Search a number
-
+
23395149312 = 29319829967
BaseRepresentation
bin10101110010011101…
…011010011000000000
32020101110002201112120
4111302131122120000
5340403124234222
614425251124240
71455516326253
oct256235323000
966343081476
1023395149312
119a15a51a47
12464aba3680
13228abc2922
1411bd18d09a
1591dd6615c
hex57275a600

23395149312 has 160 divisors (see below), whose sum is σ = 65753529600. Its totient is φ = 7371399168.

The previous prime is 23395149307. The next prime is 23395149319. The reversal of 23395149312 is 21394159332.

It is a super-2 number, since 2×233951493122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23395149319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24193053 + ... + 24194019.

It is an arithmetic number, because the mean of its divisors is an integer number (410959560).

Almost surely, 223395149312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23395149312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32876764800).

23395149312 is an abundant number, since it is smaller than the sum of its proper divisors (42358380288).

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

23395149312 is an equidigital number, since it uses as much as digits as its factorization.

23395149312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1820 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The spelling of 23395149312 in words is "twenty-three billion, three hundred ninety-five million, one hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 829 912 967 1216 1536 1658 1824 1934 2432 2487 2901 3316 3648 3868 4864 4974 5802 6632 7296 7736 9728 9948 11604 13264 14592 15472 15751 18373 19896 23208 26528 29184 30944 31502 36746 39792 46416 47253 53056 55119 61888 63004 73492 79584 92832 94506 106112 110238 123776 126008 146984 159168 185664 189012 212224 220476 247552 252016 293968 318336 371328 378024 424448 440952 495104 504032 587936 636672 742656 756048 801643 881904 1008064 1175872 1273344 1485312 1512096 1603286 1763808 2016128 2351744 2404929 3024192 3206572 3527616 4032256 4703488 4809858 6048384 6413144 7055232 8064512 9406976 9619716 12096768 12826288 14110464 15231217 19239432 24193536 25652576 28220928 30462434 38478864 45693651 51305152 60924868 76957728 91387302 102610304 121849736 153915456 182774604 205220608 243699472 307830912 365549208 410441216 487398944 615661824 731098416 974797888 1231323648 1462196832 1949595776 2924393664 3899191552 5848787328 7798383104 11697574656 23395149312