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23402466720 = 2532516251713
BaseRepresentation
bin10101110010111001…
…010100110110100000
32020101221212111010200
4111302321110312200
5340412012413340
614430112025200
71455635453643
oct256271246640
966357774120
1023402466720
119a1a09a696
124651532200
13228c585459
1411c0135a5a
1591e80e330
hex572e54da0

23402466720 has 72 divisors (see below), whose sum is σ = 79860922596. Its totient is φ = 6240657408.

The previous prime is 23402466701. The next prime is 23402466727. The reversal of 23402466720 is 2766420432.

23402466720 is a `hidden beast` number, since 2 + 340 + 246 + 6 + 72 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18868868496 + 4533598224 = 137364^2 + 67332^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (23402466727) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8124417 + ... + 8127296.

Almost surely, 223402466720 is an apocalyptic number.

23402466720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23402466720 is an abundant number, since it is smaller than the sum of its proper divisors (56458455876).

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

23402466720 is a wasteful number, since it uses less digits than its factorization.

23402466720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16251734 (or 16251723 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 23402466720 in words is "twenty-three billion, four hundred two million, four hundred sixty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 16251713 32503426 48755139 65006852 81258565 97510278 130013704 146265417 162517130 195020556 243775695 260027408 292530834 325034260 390041112 487551390 520054816 585061668 650068520 731327085 780082224 975102780 1170123336 1300137040 1462654170 1560164448 1950205560 2340246672 2600274080 2925308340 3900411120 4680493344 5850616680 7800822240 11701233360 23402466720