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73844820673812 = 223219311347139113
BaseRepresentation
bin10000110010100101010110…
…010011100000010100010100
3100200110111101112000221000100
4100302211112103200110110
534134333143043030222
6421015501534014100
721361053332106426
oct2062452623402424
9320414345027010
1073844820673812
112159045a15a181
128347755047330
1332286c91c8126
1414341735d2816
15880d173464ac
hex4329564e0514

73844820673812 has 72 divisors (see below), whose sum is σ = 197119474493760. Its totient is φ = 23244434939520.

The previous prime is 73844820673781. The next prime is 73844820673861. The reversal of 73844820673812 is 21837602844837.

73844820673812 is a `hidden beast` number, since 7 + 3 + 8 + 4 + 48 + 206 + 7 + 381 + 2 = 666.

It is a super-2 number, since 2×738448206738122 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73844820673812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173356833 + ... + 173782280.

It is an arithmetic number, because the mean of its divisors is an integer number (2737770479080).

Almost surely, 273844820673812 is an apocalyptic number.

It is an amenable number.

73844820673812 is an abundant number, since it is smaller than the sum of its proper divisors (123274653819948).

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

73844820673812 is a wasteful number, since it uses less digits than its factorization.

73844820673812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347139453 (or 347139448 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 73844820673812 in words is "seventy-three trillion, eight hundred forty-four billion, eight hundred twenty million, six hundred seventy-three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 311 342 622 684 933 1244 1866 2799 3732 5598 5909 11196 11818 17727 23636 35454 53181 70908 106362 212724 347139113 694278226 1041417339 1388556452 2082834678 3124252017 4165669356 6248504034 6595643147 12497008068 13191286294 19786929441 26382572588 39573858882 59360788323 79147717764 107960264143 118721576646 215920528286 237443153292 323880792429 431841056572 647761584858 971642377287 1295523169716 1943284754574 2051245018717 3886569509148 4102490037434 6153735056151 8204980074868 12307470112302 18461205168453 24614940224604 36922410336906 73844820673812