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54107064105472 = 297232232943427
BaseRepresentation
bin11000100110101110010000…
…10101011111101000000000
321002120120210022212001021201
430103113020111133220000
524042442231402333342
6311024235254430544
714253051326335360
oct1423271025375000
9232516708761251
1054107064105472
111627074a134854
12609a38a362454
1324263746ba8c1
14d50b1dc509a0
1563c6b00d2db7
hex3135c855fa00

54107064105472 has 160 divisors (see below), whose sum is σ = 129502543306752. Its totient is φ = 22081063809024.

The previous prime is 54107064105439. The next prime is 54107064105529. The reversal of 54107064105472 is 27450146070145.

It is a super-2 number, since 2×541070641054722 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 16910623 + ... + 19854049.

Almost surely, 254107064105472 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 54107064105472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64751271653376).

54107064105472 is an abundant number, since it is smaller than the sum of its proper divisors (75395479201280).

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

54107064105472 is a wasteful number, since it uses less digits than its factorization.

54107064105472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943698 (or 2943682 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 46.

The spelling of 54107064105472 in words is "fifty-four trillion, one hundred seven billion, sixty-four million, one hundred five thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 223 224 256 322 368 446 448 512 644 736 892 896 1288 1472 1561 1784 1792 2576 2944 3122 3568 3584 5129 5152 5888 6244 7136 10258 10304 11776 12488 14272 20516 20608 24976 28544 35903 41032 41216 49952 57088 71806 82064 82432 99904 114176 143612 164128 199808 287224 328256 399616 574448 656512 799232 1148896 1313024 2297792 2626048 2943427 4595584 5886854 9191168 11773708 18382336 20603989 23547416 41207978 47094832 67698821 82415956 94189664 135397642 164831912 188379328 270795284 329663824 376758656 473891747 541590568 656384221 659327648 753517312 947783494 1083181136 1312768442 1318655296 1507034624 1895566988 2166362272 2625536884 2637310592 3791133976 4332724544 4594689547 5251073768 5274621184 7582267952 8665449088 9189379094 10502147536 10549242368 15096837083 15164535904 17330898176 18378758188 21004295072 30193674166 30329071808 34661796352 36757516376 42008590144 60387348332 60658143616 73515032752 84017180288 105677859581 120774696664 121316287232 147030065504 168034360576 211355719162 241549393328 242632574464 294060131008 336068721152 422711438324 483098786656 588120262016 845422876648 966197573312 1176240524032 1690845753296 1932395146624 2352481048064 3381691506592 3864790293248 6763383013184 7729580586496 13526766026368 27053532052736 54107064105472