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54150732216 = 23327227755411
BaseRepresentation
bin110010011011101000…
…101001100110111000
312011202212011012210200
4302123220221212320
51341400041412331
640513154042200
73624622425600
oct623350514670
9164685135720
1054150732216
1120a68749659
12a5b2b79360
13514c9886a9
142899abdc00
15161de915e6
hexc9ba299b8

54150732216 has 144 divisors (see below), whose sum is σ = 171221417640. Its totient is φ = 15415505280.

The previous prime is 54150732173. The next prime is 54150732221. The reversal of 54150732216 is 61223705145.

54150732216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 949551 + ... + 1004961.

Almost surely, 254150732216 is an apocalyptic number.

54150732216 is a gapful number since it is divisible by the number (56) 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 54150732216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85610708820).

54150732216 is an abundant number, since it is smaller than the sum of its proper divisors (117070685424).

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

54150732216 is a wasteful number, since it uses less digits than its factorization.

54150732216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55714 (or 55700 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 54150732216 in words is "fifty-four billion, one hundred fifty million, seven hundred thirty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 277 294 392 441 504 554 588 831 882 1108 1176 1662 1764 1939 2216 2493 3324 3528 3878 4986 5817 6648 7756 9972 11634 13573 15512 17451 19944 23268 27146 34902 40719 46536 54292 55411 69804 81438 108584 110822 122157 139608 162876 166233 221644 244314 325752 332466 387877 443288 488628 498699 664932 775754 977256 997398 1163631 1329864 1551508 1994796 2327262 2715139 3103016 3490893 3989592 4654524 5430278 6981786 8145417 9309048 10860556 13963572 15348847 16290834 21721112 24436251 27927144 30697694 32581668 46046541 48872502 61395388 65163336 92093082 97745004 107441929 122790776 138139623 184186164 195490008 214883858 276279246 322325787 368372328 429767716 552558492 644651574 752093503 859535432 966977361 1105116984 1289303148 1504187006 1933954722 2256280509 2578606296 3008374012 3867909444 4512561018 6016748024 6768841527 7735818888 9025122036 13537683054 18050244072 27075366108 54150732216