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52446583956 = 223131921277333
BaseRepresentation
bin110000110110000011…
…110101110010010100
312000101002111111212110
4300312003311302110
51324402311141311
640032120151020
73534450415404
oct606603656224
9160332444773
1052446583956
1120273802868
12a1b8308470
134c3a8b8c40
142777638804
15156e56d8a6
hexc360f5c94

52446583956 has 144 divisors (see below), whose sum is σ = 140204488704. Its totient is φ = 15165626112.

The previous prime is 52446583949. The next prime is 52446583963. The reversal of 52446583956 is 65938564425.

It is an interprime number because it is at equal distance from previous prime (52446583949) and next prime (52446583963).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 52446583896 and 52446583905.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7148466 + ... + 7155798.

Almost surely, 252446583956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52446583956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70102244352).

52446583956 is an abundant number, since it is smaller than the sum of its proper divisors (87757904748).

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

52446583956 is a wasteful number, since it uses less digits than its factorization.

52446583956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7518 (or 7497 counting only the distinct ones).

The product of its digits is 31104000, while the sum is 57.

The spelling of 52446583956 in words is "fifty-two billion, four hundred forty-six million, five hundred eighty-three thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 127 156 228 247 254 361 381 494 508 722 741 762 988 1083 1444 1482 1524 1651 2166 2413 2964 3302 4332 4693 4826 4953 6604 7239 7333 9386 9652 9906 14079 14478 14666 18772 19812 21999 28158 28956 29332 31369 43998 45847 56316 62738 87996 91694 94107 95329 125476 137541 139327 183388 188214 190658 275082 278654 285987 376428 381316 417981 550164 557308 571974 596011 835962 931291 1143948 1192022 1671924 1788033 1811251 1862582 2384044 2647213 2793873 3576066 3622502 3725164 5294426 5433753 5587746 7152132 7245004 7941639 10588852 10867506 11175492 12106783 15883278 17694529 21735012 24213566 31766556 34413769 35389058 36320349 48427132 53083587 68827538 70778116 72640698 103241307 106167174 137655076 145281396 206482614 212334348 230028877 336196051 412965228 460057754 672392102 690086631 920115508 1008588153 1344784204 1380173262 2017176306 2760346524 4034352612 4370548663 8741097326 13111645989 17482194652 26223291978 52446583956