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73692920256 = 2633113194513
BaseRepresentation
bin100010010100001110…
…0001011100111000000
321001012210020020002220
41010220130023213000
52201410341422011
653504251011040
75216115326004
oct1045034134700
9231183206086
1073692920256
112928680678a
1212347739a80
136c4555c977
1437d1272704
151db4929506
hex112870b9c0

73692920256 has 112 divisors (see below), whose sum is σ = 202807385088. Its totient is φ = 23590195200.

The previous prime is 73692920251. The next prime is 73692920261. The reversal of 73692920256 is 65202929637.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73692920251) and next prime (73692920261).

It is a junction number, because it is equal to n+sod(n) for n = 73692920199 and 73692920208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73692920251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732456 + ... + 826968.

It is an arithmetic number, because the mean of its divisors is an integer number (1810780224).

Almost surely, 273692920256 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 73692920256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101403692544).

73692920256 is an abundant number, since it is smaller than the sum of its proper divisors (129114464832).

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

73692920256 is a wasteful number, since it uses less digits than its factorization.

73692920256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94690 (or 94680 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 73692920256 in words is "seventy-three billion, six hundred ninety-two million, nine hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 131 186 192 248 262 372 393 496 524 744 786 992 1048 1488 1572 1984 2096 2976 3144 4061 4192 5952 6288 8122 8384 12183 12576 16244 24366 25152 32488 48732 64976 94513 97464 129952 189026 194928 259904 283539 378052 389856 567078 756104 779712 1134156 1512208 2268312 2929903 3024416 4536624 5859806 6048832 8789709 9073248 11719612 12381203 17579418 18146496 23439224 24762406 35158836 37143609 46878448 49524812 70317672 74287218 93756896 99049624 140635344 148574436 187513792 198099248 281270688 297148872 383817293 396198496 562541376 594297744 767634586 792396992 1151451879 1188595488 1535269172 2302903758 2377190976 3070538344 4605807516 6141076688 9211615032 12282153376 18423230064 24564306752 36846460128 73692920256