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73807067857404 = 22371915101901841
BaseRepresentation
bin10000110010000010001100…
…000011111100000111111100
3100200022212221110110010212210
4100302002030003330013330
534133223333332414104
6420550255432100420
721355245642342330
oct2062021403740774
9320285843403783
1073807067857404
1121576446728462
128340379834710
133224c908876cb
1414323d16657c0
1587ed57c9b989
hex43208c0fc1fc

73807067857404 has 96 divisors (see below), whose sum is σ = 197888318595072. Its totient is φ = 20973191040000.

The previous prime is 73807067857399. The next prime is 73807067857423. The reversal of 73807067857404 is 40475876070837.

73807067857404 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×738070678574043 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

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, 81389524 + ... + 82291364.

It is an arithmetic number, because the mean of its divisors is an integer number (2061336652032).

Almost surely, 273807067857404 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 73807067857404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98944159297536).

73807067857404 is an abundant number, since it is smaller than the sum of its proper divisors (124081250737668).

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

73807067857404 is a wasteful number, since it uses less digits than its factorization.

73807067857404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907147 (or 907145 counting only the distinct ones).

The product of its (nonzero) digits is 221276160, while the sum is 66.

The spelling of 73807067857404 in words is "seventy-three trillion, eight hundred seven billion, sixty-seven million, eight hundred fifty-seven thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 191 382 573 764 1146 1337 2292 2674 4011 5101 5348 8022 10202 15303 16044 20404 30606 35707 61212 71414 107121 142828 214242 428484 901841 974291 1803682 1948582 2705523 2922873 3607364 3897164 5411046 5845746 6312887 6820037 10822092 11691492 12625774 13640074 18938661 20460111 25251548 27280148 37877322 40920222 75754644 81840444 172251631 344503262 516754893 689006524 1033509786 1205761417 2067019572 2411522834 3617284251 4600290941 4823045668 7234568502 9200581882 13800872823 14469137004 18401163764 27601745646 32202036587 55203491292 64404073174 96606109761 128808146348 193212219522 386424439044 878655569731 1757311139462 2635966709193 3514622278924 5271933418386 6150588988117 10543866836772 12301177976234 18451766964351 24602355952468 36903533928702 73807067857404