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22963714648 = 23717233532971
BaseRepresentation
bin10101011000101111…
…100111101001011000
32012021101021120102221
4111120233213221120
5334012202332043
614314400033424
71442030232250
oct253057475130
965241246387
1022963714648
119814466776
12454a602874
13221c6c6344
14117bb64960
158e60438ed
hex558be7a58

22963714648 has 128 divisors (see below), whose sum is σ = 54540241920. Its totient is φ = 8831877120.

The previous prime is 22963714619. The next prime is 22963714687. The reversal of 22963714648 is 84641736922.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 22963714595 and 22963714604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7727803 + ... + 7730773.

It is an arithmetic number, because the mean of its divisors is an integer number (426095640).

Almost surely, 222963714648 is an apocalyptic number.

22963714648 is a gapful number since it is divisible by the number (28) 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 22963714648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27270120960).

22963714648 is an abundant number, since it is smaller than the sum of its proper divisors (31576527272).

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

22963714648 is a wasteful number, since it uses less digits than its factorization.

22963714648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3373 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 52.

The spelling of 22963714648 in words is "twenty-two billion, nine hundred sixty-three million, seven hundred fourteen thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 17 23 28 34 46 56 68 92 119 136 161 184 238 322 353 391 476 644 706 782 952 1288 1412 1564 2471 2737 2824 2971 3128 4942 5474 5942 6001 8119 9884 10948 11884 12002 16238 19768 20797 21896 23768 24004 32476 41594 42007 48008 50507 56833 64952 68333 83188 84014 101014 113666 136666 138023 166376 168028 202028 227332 273332 276046 336056 353549 404056 454664 478331 546664 552092 707098 956662 966161 1048763 1104184 1161661 1414196 1913324 1932322 2097526 2323322 2828392 3826648 3864644 4195052 4646644 7341341 7729288 8131627 8390104 9293288 14682682 16263254 17828971 24121549 29365364 32526508 35657942 48243098 58730728 65053016 71315884 96486196 124802797 142631768 168850843 192972392 249605594 337701686 410066333 499211188 675403372 820132666 998422376 1350806744 1640265332 2870464331 3280530664 5740928662 11481857324 22963714648