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10120294656 = 28331464163
BaseRepresentation
bin10010110110011011…
…10111000100000000
3222010022010020101000
421123031313010000
5131211243412111
64352121012000
7505535041143
oct113315670400
928108106330
1010120294656
11432370818a
121b65324000
13c538b8544
146c011805a
153e3720c56
hex25b377100

10120294656 has 72 divisors (see below), whose sum is σ = 29927512160. Its totient is φ = 3373429248.

The previous prime is 10120294621. The next prime is 10120294673. The reversal of 10120294656 is 65649202101.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10120294656.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 725170 + ... + 738993.

Almost surely, 210120294656 is an apocalyptic number.

10120294656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10120294656 is an abundant number, since it is smaller than the sum of its proper divisors (19807217504).

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

10120294656 is an equidigital number, since it uses as much as digits as its factorization.

10120294656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464188 (or 1464168 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 10120294656 its reverse (65649202101), we get a palindrome (75769496757).

The spelling of 10120294656 in words is "ten billion, one hundred twenty million, two hundred ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 1464163 2928326 4392489 5856652 8784978 11713304 13177467 17569956 23426608 26354934 35139912 39532401 46853216 52709868 70279824 79064802 93706432 105419736 140559648 158129604 187412864 210839472 281119296 316259208 374825728 421678944 562238592 632518416 843357888 1124477184 1265036832 1686715776 2530073664 3373431552 5060147328 10120294656