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51106420322988 = 22337449853730029
BaseRepresentation
bin10111001111011001001000…
…00001110111001010101100
320200221201121022012020021220
423213230210001313022230
523144311422100313423
6300405544304423340
713523213511121362
oct1347544401671254
9220851538166256
1051106420322988
1115314124a26838
125894924917b50
1322694126a2a24
14c897c7655632
155d95de0c39e3
hex2e7b240772ac

51106420322988 has 96 divisors (see below), whose sum is σ = 122762471832000. Its totient is φ = 16535651844096.

The previous prime is 51106420322963. The next prime is 51106420322989. The reversal of 51106420322988 is 88922302460115.

51106420322988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×511064203229882 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51106420322988.

It is not an unprimeable number, because it can be changed into a prime (51106420322989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1701887158 + ... + 1701917186.

It is an arithmetic number, because the mean of its divisors is an integer number (1278775748250).

Almost surely, 251106420322988 is an apocalyptic number.

It is an amenable number.

51106420322988 is an abundant number, since it is smaller than the sum of its proper divisors (71656051509012).

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

51106420322988 is a wasteful number, since it uses less digits than its factorization.

51106420322988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39059 (or 39057 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 51106420322988 in words is "fifty-one trillion, one hundred six billion, four hundred twenty million, three hundred twenty-two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 449 898 1347 1796 2694 5388 8537 16613 17074 25611 30029 33226 34148 49839 51222 60058 66452 90087 99678 102444 120116 180174 199356 315869 360348 631738 947607 1111073 1263476 1895214 2222146 3333219 3790428 3833113 4444292 6666438 7666226 11499339 13332876 13483021 15332452 22998678 26966042 40449063 45997356 53932084 80898126 141825181 161796252 256357573 283650362 425475543 498871777 512715146 567300724 769072719 850951086 997743554 1025430292 1496615331 1538145438 1701902172 1995487108 2993230662 3076290876 5986461324 9485230201 18970460402 28455690603 37940920804 56911381206 113822762412 115104550277 230209100554 345313650831 460418201108 690627301662 1381254603324 4258868360249 8517736720498 12776605080747 17035473440996 25553210161494 51106420322988