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2054715168 = 253114741399
BaseRepresentation
bin111101001111000…
…0111011100100000
312022012022100022210
41322132013130200
513202001341133
6535515402120
7101626535142
oct17236073440
95265270283
102054715168
11964918a10
12494153340
132698c39bc
14156c5cc92
15c05be763
hex7a787720

2054715168 has 96 divisors (see below), whose sum is σ = 6009292800. Its totient is φ = 609378560.

The previous prime is 2054715167. The next prime is 2054715199. The reversal of 2054715168 is 8615174502.

2054715168 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2054715167) 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, 28933 + ... + 70331.

It is an arithmetic number, because the mean of its divisors is an integer number (62596800).

Almost surely, 22054715168 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 2054715168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004646400).

2054715168 is an abundant number, since it is smaller than the sum of its proper divisors (3954577632).

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

2054715168 is a wasteful number, since it uses less digits than its factorization.

2054715168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41470 (or 41462 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 2054715168 is about 45328.9661033649. The cubic root of 2054715168 is about 1271.3073045041.

The spelling of 2054715168 in words is "two billion, fifty-four million, seven hundred fifteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 66 88 94 96 132 141 176 188 264 282 352 376 517 528 564 752 1034 1056 1128 1504 1551 2068 2256 3102 4136 4512 6204 8272 12408 16544 24816 41399 49632 82798 124197 165596 248394 331192 455389 496788 662384 910778 993576 1324768 1366167 1821556 1945753 1987152 2732334 3643112 3891506 3974304 5464668 5837259 7286224 7783012 10929336 11674518 14572448 15566024 21403283 21858672 23349036 31132048 42806566 43717344 46698072 62264096 64209849 85613132 93396144 128419698 171226264 186792288 256839396 342452528 513678792 684905056 1027357584 2054715168