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153415666092 = 2231313918233881
BaseRepresentation
bin1000111011100001001…
…0010100100110101100
3112122222210122022220010
42032320102110212230
510003143402303332
6154251142053220
714040532434303
oct2167022244654
9478883568803
10153415666092
115a077164697
122589671a210
131160c0cbb60
1475d527943a
153ecd8cd9cc
hex23b84949ac

153415666092 has 96 divisors (see below), whose sum is σ = 388592547840. Its totient is φ = 46827440640.

The previous prime is 153415666067. The next prime is 153415666111. The reversal of 153415666092 is 290666514351.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39527992 + ... + 39531872.

It is an arithmetic number, because the mean of its divisors is an integer number (4047839040).

Almost surely, 2153415666092 is an apocalyptic number.

153415666092 is a gapful number since it is divisible by the number (12) 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 153415666092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194296273920).

153415666092 is an abundant number, since it is smaller than the sum of its proper divisors (235176881748).

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

153415666092 is a wasteful number, since it uses less digits than its factorization.

153415666092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5863 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 153415666092 in words is "one hundred fifty-three billion, four hundred fifteen million, six hundred sixty-six thousand, ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 139 156 278 417 556 834 1668 1807 1823 3614 3646 3881 5421 5469 7228 7292 7762 10842 10938 11643 15524 21684 21876 23286 23699 46572 47398 50453 71097 94796 100906 142194 151359 201812 253397 284388 302718 506794 539459 605436 760191 1013588 1078918 1520382 1618377 2157836 3040764 3236754 3294161 6473508 6588322 7012967 7075063 9882483 13176644 14025934 14150126 19764966 21038901 21225189 28051868 28300252 39529932 42077802 42450378 84155604 84900756 91975819 183951638 275927457 367903276 551854914 983433757 1103709828 1966867514 2950301271 3933735028 5900602542 11801205084 12784638841 25569277682 38353916523 51138555364 76707833046 153415666092