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10364051896 = 23112314513529
BaseRepresentation
bin10011010011011111…
…01110000110111000
3222202021210101102221
421221233232012320
5132211144130041
64432225333424
7514554662512
oct115157560670
928667711387
1010364051896
114439267650
122012a97274
13c922535b3
1470464abb2
15409d202d1
hex269bee1b8

10364051896 has 64 divisors (see below), whose sum is σ = 22142419200. Its totient is φ = 4501728000.

The previous prime is 10364051881. The next prime is 10364051899. The reversal of 10364051896 is 69815046301.

It is a super-3 number, since 3×103640518963 (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10364051899) 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, 2935060 + ... + 2938588.

It is an arithmetic number, because the mean of its divisors is an integer number (345975300).

Almost surely, 210364051896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10364051896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11071209600).

10364051896 is an abundant number, since it is smaller than the sum of its proper divisors (11778367304).

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

10364051896 is a wasteful number, since it uses less digits than its factorization.

10364051896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5020 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

It can be divided in two parts, 1036405 and 1896, that added together give a palindrome (1038301).

The spelling of 10364051896 in words is "ten billion, three hundred sixty-four million, fifty-one thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 1451 2024 2902 3529 5804 7058 11608 14116 15961 28232 31922 33373 38819 63844 66746 77638 81167 127688 133492 155276 162334 266984 310552 324668 367103 649336 734206 892837 1468412 1785674 2936824 3571348 5120579 7142696 10241158 20482316 40964632 56326369 112652738 117773317 225305476 235546634 450610952 471093268 942186536 1295506487 2591012974 5182025948 10364051896