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72946640824332 = 223117955631257463
BaseRepresentation
bin10000100101100000110110…
…100111010010100000001100
3100120021122000211012001220020
4100211200312213102200030
534030124210022334312
6415051120230422140
721236135522260242
oct2045406647224014
9316248024161806
1072946640824332
1121274551037410
12822166a501950
133191ab9865b82
1414028c9c4a792
15867799a0378c
hex4258369d280c

72946640824332 has 96 divisors (see below), whose sum is σ = 188066718228480. Its totient is φ = 21821291369280.

The previous prime is 72946640824319. The next prime is 72946640824427. The reversal of 72946640824332 is 23342804664927.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57382233 + ... + 58639695.

It is an arithmetic number, because the mean of its divisors is an integer number (1959028314880).

Almost surely, 272946640824332 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 72946640824332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94033359114240).

72946640824332 is an abundant number, since it is smaller than the sum of its proper divisors (115120077404148).

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

72946640824332 is a wasteful number, since it uses less digits than its factorization.

72946640824332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263123 (or 1263121 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 60.

The spelling of 72946640824332 in words is "seventy-two trillion, nine hundred forty-six billion, six hundred forty million, eight hundred twenty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 316 474 869 948 1738 2607 3476 5214 5563 10428 11126 16689 22252 33378 61193 66756 122386 183579 244772 367158 439477 734316 878954 1257463 1318431 1757908 2514926 2636862 3772389 4834247 5029852 5273724 7544778 9668494 13832093 14502741 15089556 19336988 27664186 29005482 41496279 55328372 58010964 82992558 99339577 165985116 198679154 298018731 397358308 596037462 1092735347 1192074924 2185470694 3278206041 4370941388 6556412082 6995266669 13112824164 13990533338 20985800007 27981066676 41971600014 76947933359 83943200028 153895866718 230843800077 307791733436 461687600154 552626066851 923375200308 1105252133702 1657878200553 2210504267404 3315756401106 6078886735361 6631512802212 12157773470722 18236660206083 24315546941444 36473320412166 72946640824332