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54232749504 = 263389352637
BaseRepresentation
bin110010100000100001…
…100001010111000000
312011222120111010101000
4302200201201113000
51342032040441004
640525244012000
73626636523213
oct624041412700
9164876433330
1054232749504
1120aaaa7843a
12a616531000
13516397402b
1428a694d77a
151626292c39
hexca08615c0

54232749504 has 112 divisors (see below), whose sum is σ = 161226093600. Its totient is φ = 17874413568.

The previous prime is 54232749491. The next prime is 54232749509. The reversal of 54232749504 is 40594723245.

54232749504 is a `hidden beast` number, since 5 + 42 + 32 + 74 + 9 + 504 = 666.

It is a super-2 number, since 2×542327495042 (a number of 22 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 54232749504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54232749509) 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, 22527 + ... + 330110.

Almost surely, 254232749504 is an apocalyptic number.

54232749504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54232749504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80613046800).

54232749504 is an abundant number, since it is smaller than the sum of its proper divisors (106993344096).

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

54232749504 is a wasteful number, since it uses less digits than its factorization.

54232749504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352747 (or 352731 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 54232749504 in words is "fifty-four billion, two hundred thirty-two million, seven hundred forty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 89 96 108 144 178 192 216 267 288 356 432 534 576 712 801 864 1068 1424 1602 1728 2136 2403 2848 3204 4272 4806 5696 6408 8544 9612 12816 17088 19224 25632 38448 51264 76896 153792 352637 705274 1057911 1410548 2115822 2821096 3173733 4231644 5642192 6347466 8463288 9521199 11284384 12694932 16926576 19042398 22568768 25389864 31384693 33853152 38084796 50779728 62769386 67706304 76169592 94154079 101559456 125538772 152339184 188308158 203118912 251077544 282462237 304678368 376616316 502155088 564924474 609356736 753232632 847386711 1004310176 1129848948 1506465264 1694773422 2008620352 2259697896 3012930528 3389546844 4519395792 6025861056 6779093688 9038791584 13558187376 18077583168 27116374752 54232749504