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23329733472 = 2532294316481
BaseRepresentation
bin10101101110100011…
…110111101101100000
32020012220000020212200
4111232203313231200
5340234402432342
614414553053200
71454063314443
oct255643675540
966186006780
1023329733472
119992032071
1246310b7200
13227a49a826
1411b460165a
1591824394c
hex56e8f7b60

23329733472 has 144 divisors (see below), whose sum is σ = 68801503680. Its totient is φ = 7489843200.

The previous prime is 23329733431. The next prime is 23329733489. The reversal of 23329733472 is 27433792332.

23329733472 is a `hidden beast` number, since 23 + 3 + 297 + 334 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3596472 + ... + 3602952.

It is an arithmetic number, because the mean of its divisors is an integer number (477788220).

Almost surely, 223329733472 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 23329733472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34400751840).

23329733472 is an abundant number, since it is smaller than the sum of its proper divisors (45471770208).

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

23329733472 is a wasteful number, since it uses less digits than its factorization.

23329733472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6957 (or 6946 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 45.

The spelling of 23329733472 in words is "twenty-three billion, three hundred twenty-nine million, seven hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 431 464 522 696 862 928 1044 1293 1392 1724 2088 2586 2784 3448 3879 4176 5172 6481 6896 7758 8352 10344 12499 12962 13792 15516 19443 20688 24998 25924 31032 37497 38886 41376 49996 51848 58329 62064 74994 77772 99992 103696 112491 116658 124128 149988 155544 187949 199984 207392 224982 233316 299976 311088 375898 399968 449964 466632 563847 599952 622176 751796 899928 933264 1127694 1199904 1503592 1691541 1799856 1866528 2255388 2793311 3007184 3383082 3599712 4510776 5586622 6014368 6766164 8379933 9021552 11173244 13532328 16759866 18043104 22346488 25139799 27064656 33519732 44692976 50279598 54129312 67039464 81006019 89385952 100559196 134078928 162012038 201118392 243018057 268157856 324024076 402236784 486036114 648048152 729054171 804473568 972072228 1296096304 1458108342 1944144456 2592192608 2916216684 3888288912 5832433368 7776577824 11664866736 23329733472