Search a number
-
+
45903146160 = 24351289148381
BaseRepresentation
bin101010110000000010…
…100110110010110000
311101111001212102200110
4222300002212302300
51223002201134120
633030531421320
73213344206314
oct526002466260
9141431772613
1045903146160
1118516147133
128a90a54840
134437069861
1423165a7b44
1512d9d8c2e0
hexab00a6cb0

45903146160 has 80 divisors (see below), whose sum is σ = 142411108320. Its totient is φ = 12231260160.

The previous prime is 45903146137. The next prime is 45903146189. The reversal of 45903146160 is 6164130954.

It is a tau number, because it is divible by the number of its divisors (80).

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, 235170 + ... + 383550.

It is an arithmetic number, because the mean of its divisors is an integer number (1780138854).

Almost surely, 245903146160 is an apocalyptic number.

45903146160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45903146160 is an abundant number, since it is smaller than the sum of its proper divisors (96507962160).

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

45903146160 is a wasteful number, since it uses less digits than its factorization.

45903146160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149686 (or 149680 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 45903146160 in words is "forty-five billion, nine hundred three million, one hundred forty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1289 2578 3867 5156 6445 7734 10312 12890 15468 19335 20624 25780 30936 38670 51560 61872 77340 103120 148381 154680 296762 309360 445143 593524 741905 890286 1187048 1483810 1780572 2225715 2374096 2967620 3561144 4451430 5935240 7122288 8902860 11870480 17805720 35611440 191263109 382526218 573789327 765052436 956315545 1147578654 1530104872 1912631090 2295157308 2868946635 3060209744 3825262180 4590314616 5737893270 7650524360 9180629232 11475786540 15301048720 22951573080 45903146160