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10234154896 = 247236132
BaseRepresentation
bin10011000100000000…
…01100111110010000
3222102020100221020221
421202000030332100
5131424420424041
64411305242424
7511416611200
oct114200147620
928366327227
1010234154896
114381a06059
121b97493414
13c71372974
146d12b6400
153ed7122d1
hex26200cf90

10234154896 has 45 divisors (see below), whose sum is σ = 23072395761. Its totient is φ = 4384852416.

The previous prime is 10234154867. The next prime is 10234154963. The reversal of 10234154896 is 69845143201.

The square root of 10234154896 is 101164.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5664400 + 10228490496 = 2380^2 + 101136^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2830786 + ... + 2834398.

Almost surely, 210234154896 is an apocalyptic number.

10234154896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10234154896 is the 101164-th square number.

It is an amenable number.

10234154896 is an abundant number, since it is smaller than the sum of its proper divisors (12838240865).

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

10234154896 is an frugal number, since it uses more digits than its factorization.

10234154896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7248 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 10234154896 in words is "ten billion, two hundred thirty-four million, one hundred fifty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 3613 7226 14452 25291 28904 50582 57808 101164 177037 202328 354074 404656 708148 1416296 2832592 13053769 26107538 52215076 91376383 104430152 182752766 208860304 365505532 639634681 731011064 1279269362 1462022128 2558538724 5117077448 10234154896