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54103645160 = 23537113323509
BaseRepresentation
bin110010011000110101…
…000001101111101000
312011122120112221111122
4302120311001233220
51341301013121120
640504352514412
73623511252545
oct623065015750
9164576487448
1054103645160
1120a44108434
12a59b24ba08
135142cb0126
142893743bcc
151619c8ea25
hexc98d41be8

54103645160 has 64 divisors (see below), whose sum is σ = 126130078800. Its totient is φ = 20870148096.

The previous prime is 54103645133. The next prime is 54103645207. The reversal of 54103645160 is 6154630145.

It can be written as a sum of positive squares in 8 ways, for example, as 4179105316 + 49924539844 = 64646^2 + 223438^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 54103645160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5486 + ... + 328994.

Almost surely, 254103645160 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 54103645160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63065039400).

54103645160 is an abundant number, since it is smaller than the sum of its proper divisors (72026433640).

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

54103645160 is a wasteful number, since it uses less digits than its factorization.

54103645160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323670 (or 323666 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 54103645160 in words is "fifty-four billion, one hundred three million, six hundred forty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 37 40 74 113 148 185 226 296 370 452 565 740 904 1130 1480 2260 4181 4520 8362 16724 20905 33448 41810 83620 167240 323509 647018 1294036 1617545 2588072 3235090 6470180 11969833 12940360 23939666 36556517 47879332 59849165 73113034 95758664 119698330 146226068 182782585 239396660 292452136 365565170 478793320 731130340 1352591129 1462260680 2705182258 5410364516 6762955645 10820729032 13525911290 27051822580 54103645160