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168060370656 = 25379188911731
BaseRepresentation
bin1001110010000100101…
…1011011111011100000
3121001210102020101212110
42130201023123323200
510223141423330111
6205112244555320
715066456403053
oct2344113337340
9531712211773
10168060370656
1165301774a12
12286a30b2b40
1312b04159609
1481c4214a9a
1545894105a6
hex27212dbee0

168060370656 has 96 divisors (see below), whose sum is σ = 447017356800. Its totient is φ = 55277015040.

The previous prime is 168060370609. The next prime is 168060370679. The reversal of 168060370656 is 656073060861.

168060370656 is digitally balanced in base 2, 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 a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14320311 + ... + 14332041.

It is an arithmetic number, because the mean of its divisors is an integer number (4656430800).

Almost surely, 2168060370656 is an apocalyptic number.

168060370656 is a gapful number since it is divisible by the number (16) 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 168060370656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223508678400).

168060370656 is an abundant number, since it is smaller than the sum of its proper divisors (278956986144).

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

168060370656 is a wasteful number, since it uses less digits than its factorization.

168060370656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13712 (or 13704 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 168060370656 in words is "one hundred sixty-eight billion, sixty million, three hundred seventy thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1889 1896 2528 3778 3792 5667 7556 7584 11334 11731 15112 22668 23462 30224 35193 45336 46924 60448 70386 90672 93848 140772 149231 181344 187696 281544 298462 375392 447693 563088 596924 895386 926749 1126176 1193848 1790772 1853498 2387696 2780247 3581544 3706996 4775392 5560494 7163088 7413992 11120988 14326176 14827984 22159859 22241976 29655968 44319718 44483952 66479577 88639436 88967904 132959154 177278872 265918308 354557744 531836616 709115488 1063673232 1750628861 2127346464 3501257722 5251886583 7002515444 10503773166 14005030888 21007546332 28010061776 42015092664 56020123552 84030185328 168060370656