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168330354160 = 245107179109859
BaseRepresentation
bin1001110011000101000…
…1010101110111110000
3121002111020020222121111
42130301101111313300
510224220032313120
6205155131403104
715106245255013
oct2346121256760
9532436228544
10168330354160
1165430107581
12287595b3494
1312b48077a77
14820c01337a
1545a2e9075a
hex2731455df0

168330354160 has 80 divisors (see below), whose sum is σ = 397236182400. Its totient is φ = 66329623808.

The previous prime is 168330354151. The next prime is 168330354167. The reversal of 168330354160 is 61453033861.

168330354160 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168330354167) by changing a digit.

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, 1477311 + ... + 1587169.

It is an arithmetic number, because the mean of its divisors is an integer number (4965452280).

Almost surely, 2168330354160 is an apocalyptic number.

168330354160 is a gapful number since it is divisible by the number (10) 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 168330354160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198618091200).

168330354160 is an abundant number, since it is smaller than the sum of its proper divisors (228905828240).

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

168330354160 is a wasteful number, since it uses less digits than its factorization.

168330354160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110158 (or 110152 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 168330354160 in words is "one hundred sixty-eight billion, three hundred thirty million, three hundred fifty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 179 214 358 428 535 716 856 895 1070 1432 1712 1790 2140 2864 3580 4280 7160 8560 14320 19153 38306 76612 95765 109859 153224 191530 219718 306448 383060 439436 549295 766120 878872 1098590 1532240 1757744 2197180 4394360 8788720 11754913 19664761 23509826 39329522 47019652 58774565 78659044 94039304 98323805 117549130 157318088 188078608 196647610 235098260 314636176 393295220 470196520 786590440 940393040 1573180880 2104129427 4208258854 8416517708 10520647135 16833035416 21041294270 33666070832 42082588540 84165177080 168330354160