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672577530816 = 26317326837547
BaseRepresentation
bin10011100100110001011…
…11101010101111000000
32101022001002021121221010
421302120233222233000
542004414321441231
61232551114400520
766410045453532
oct11623057525700
92338032247833
10672577530816
1123a269533724
12aa424a30140
134b5680ab809
14247a532d852
15127668c1546
hex9c98beabc0

672577530816 has 112 divisors (see below), whose sum is σ = 1790718678144. Its totient is φ = 222783998976.

The previous prime is 672577530743. The next prime is 672577530829. The reversal of 672577530816 is 618035775276.

672577530816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89114755 + ... + 89122301.

Almost surely, 2672577530816 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 672577530816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895359339072).

672577530816 is an abundant number, since it is smaller than the sum of its proper divisors (1118141147328).

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

672577530816 is a wasteful number, since it uses less digits than its factorization.

672577530816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10418 (or 10408 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 57.

The spelling of 672577530816 in words is "six hundred seventy-two billion, five hundred seventy-seven million, five hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 173 192 346 519 692 1038 1384 2076 2683 2768 4152 5366 5536 7547 8049 8304 10732 11072 15094 16098 16608 21464 22641 30188 32196 33216 42928 45282 60376 64392 85856 90564 120752 128784 171712 181128 241504 257568 362256 464159 483008 515136 724512 928318 1305631 1392477 1449024 1856636 2611262 2784954 3713272 3916893 5222524 5569908 7426544 7833786 10445048 11139816 14853088 15667572 20248601 20890096 22279632 29706176 31335144 40497202 41780192 44559264 60745803 62670288 80994404 83560384 89118528 121491606 125340576 161988808 242983212 250681152 323977616 485966424 647955232 971932848 1295910464 1943865696 3503007973 3887731392 7006015946 10509023919 14012031892 21018047838 28024063784 42036095676 56048127568 84072191352 112096255136 168144382704 224192510272 336288765408 672577530816