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453197691168 = 25329266361129
BaseRepresentation
bin1101001100001001010…
…11111111100100100000
31121022210010102002020220
412212010223333210200
524411122102104133
6544110211203040
744512442546355
oct6460453774440
91538703362226
10453197691168
11165222311122
12739baba6480
1333975a1ba01
1417d1347a62c
15bbc6d825b3
hex6984aff920

453197691168 has 96 divisors (see below), whose sum is σ = 1231148419200. Its totient is φ = 145799571456.

The previous prime is 453197691113. The next prime is 453197691169. The reversal of 453197691168 is 861196791354.

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

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (453197691169) 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, 7383228 + ... + 7444356.

It is an arithmetic number, because the mean of its divisors is an integer number (12824462700).

Almost surely, 2453197691168 is an apocalyptic number.

453197691168 is a gapful number since it is divisible by the number (48) 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 453197691168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615574209600).

453197691168 is an abundant number, since it is smaller than the sum of its proper divisors (777950728032).

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

453197691168 is a wasteful number, since it uses less digits than its factorization.

453197691168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63834 (or 63826 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 60.

The spelling of 453197691168 in words is "four hundred fifty-three billion, one hundred ninety-seven million, six hundred ninety-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2663 2784 5326 7989 10652 15978 21304 31956 42608 61129 63912 77227 85216 122258 127824 154454 183387 231681 244516 255648 308908 366774 463362 489032 617816 733548 926724 978064 1235632 1467096 1772741 1853448 1956128 2471264 2934192 3545482 3706896 5318223 5868384 7090964 7413792 10636446 14181928 21272892 28363856 42545784 56727712 85091568 162786527 170183136 325573054 488359581 651146108 976719162 1302292216 1953438324 2604584432 3906876648 4720809283 5209168864 7813753296 9441618566 14162427849 15627506592 18883237132 28324855698 37766474264 56649711396 75532948528 113299422792 151065897056 226598845584 453197691168