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20235107648 = 267311457021
BaseRepresentation
bin10010110110000110…
…110011110101000000
31221020012220222022102
4102312012303311000
5312420141421043
613143524325532
71314305401640
oct226606636500
957205828272
1020235107648
118644210968
123b088438a8
131ba63049a2
14d9d606520
157d670c6b8
hex4b61b3d40

20235107648 has 56 divisors (see below), whose sum is σ = 47370699264. Its totient is φ = 8392435200.

The previous prime is 20235107609. The next prime is 20235107671. The reversal of 20235107648 is 84670153202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×202351076482 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 714623 + ... + 742398.

It is an arithmetic number, because the mean of its divisors is an integer number (845905344).

Almost surely, 220235107648 is an apocalyptic number.

20235107648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20235107648 is an abundant number, since it is smaller than the sum of its proper divisors (27135591616).

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

20235107648 is a wasteful number, since it uses less digits than its factorization.

20235107648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457071 (or 1457061 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 20235107648 in words is "twenty billion, two hundred thirty-five million, one hundred seven thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 6944 13888 1457021 2914042 5828084 10199147 11656168 20398294 23312336 40796588 45167651 46624672 81593176 90335302 93249344 163186352 180670604 316173557 326372704 361341208 632347114 652745408 722682416 1264694228 1445364832 2529388456 2890729664 5058776912 10117553824 20235107648