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23490330624 = 2173219913
BaseRepresentation
bin10101111000001000…
…100000000000000000
32020122002012102202100
4111320020200000000
5341102011034444
614442531150400
71461053341635
oct257010400000
966562172670
1023490330624
119a64752092
124676a45400
1322a483a027
1411cba8818c
159273b7e69
hex578220000

23490330624 has 108 divisors (see below), whose sum is σ = 67864104126. Its totient is φ = 7829716992.

The previous prime is 23490330593. The next prime is 23490330649. The reversal of 23490330624 is 42603309432.

23490330624 is a `hidden beast` number, since 2 + 349 + 0 + 3 + 306 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23357620224 + 132710400 = 152832^2 + 11520^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1169692 + ... + 1189604.

Almost surely, 223490330624 is an apocalyptic number.

23490330624 is a gapful number since it is divisible by the number (24) 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 23490330624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33932052063).

23490330624 is an abundant number, since it is smaller than the sum of its proper divisors (44373773502).

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

23490330624 is an frugal number, since it uses more digits than its factorization.

23490330624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19953 (or 19918 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 23490330624 in words is "twenty-three billion, four hundred ninety million, three hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 16384 18432 19913 24576 32768 36864 39826 49152 59739 65536 73728 79652 98304 119478 131072 147456 159304 179217 196608 238956 294912 318608 358434 393216 477912 589824 637216 716868 955824 1179648 1274432 1433736 1911648 2548864 2867472 3823296 5097728 5734944 7646592 10195456 11469888 15293184 20390912 22939776 30586368 40781824 45879552 61172736 81563648 91759104 122345472 163127296 183518208 244690944 326254592 367036416 489381888 652509184 734072832 978763776 1305018368 1468145664 1957527552 2610036736 2936291328 3915055104 5872582656 7830110208 11745165312 23490330624