Search a number
-
+
23330747251920 = 2435113860278291
BaseRepresentation
bin1010100111000000111001…
…11001101111110011010000
310001121101201220001001011010
411103200130321233303100
511024222332244030140
6121341555231050520
74625406444362253
oct523403471576320
9101541656031133
1023330747251920
117485572657509
1227497a4070a40
131003106a7c314
145a92dda5909a
152a6d462ba880
hex15381ce6fcd0

23330747251920 has 80 divisors (see below), whose sum is σ = 72965363614272. Its totient is φ = 6166474782720.

The previous prime is 23330747251901. The next prime is 23330747251921. The reversal of 23330747251920 is 2915274703332.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 23330747251920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23330747251921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430112026 + ... + 430166265.

Almost surely, 223330747251920 is an apocalyptic number.

23330747251920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23330747251920 is an abundant number, since it is smaller than the sum of its proper divisors (49634616362352).

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

23330747251920 is a wasteful number, since it uses less digits than its factorization.

23330747251920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860278420 (or 860278414 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 48.

The spelling of 23330747251920 in words is "twenty-three trillion, three hundred thirty billion, seven hundred forty-seven million, two hundred fifty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 339 452 565 678 904 1130 1356 1695 1808 2260 2712 3390 4520 5424 6780 9040 13560 27120 860278291 1720556582 2580834873 3441113164 4301391455 5161669746 6882226328 8602782910 10323339492 12904174365 13764452656 17205565820 20646678984 25808348730 34411131640 41293357968 51616697460 68822263280 97211446883 103233394920 194422893766 206466789840 291634340649 388845787532 486057234415 583268681298 777691575064 972114468830 1166537362596 1458171703245 1555383150128 1944228937660 2333074725192 2916343406490 3888457875320 4666149450384 5832686812980 7776915750640 11665373625960 23330747251920