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21456252640 = 255373624367
BaseRepresentation
bin10011111110111001…
…000110111011100000
32001101022201120022201
4103332321012323200
5322420300041030
613505025542544
71356464065264
oct237671067340
961338646281
1021456252640
11911054a1a9
1241a97a4a54
13203c2c07a4
14107787c0a4
15858a232ca
hex4fee46ee0

21456252640 has 48 divisors (see below), whose sum is σ = 52060421952. Its totient is φ = 8350539264.

The previous prime is 21456252589. The next prime is 21456252647. The reversal of 21456252640 is 4625265412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 21456252640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21456252647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1806264 + ... + 1818103.

It is an arithmetic number, because the mean of its divisors is an integer number (1084592124).

Almost surely, 221456252640 is an apocalyptic number.

21456252640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21456252640 is an abundant number, since it is smaller than the sum of its proper divisors (30604169312).

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

21456252640 is a wasteful number, since it uses less digits than its factorization.

21456252640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3624419 (or 3624411 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 21456252640 in words is "twenty-one billion, four hundred fifty-six million, two hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 3624367 7248734 14497468 18121835 28994936 36243670 57989872 72487340 115979744 134101579 144974680 268203158 289949360 536406316 579898720 670507895 1072812632 1341015790 2145625264 2682031580 4291250528 5364063160 10728126320 21456252640