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51158811841128 = 23325318174068493
BaseRepresentation
bin10111010000111010101101…
…10011101001001001101000
320201010201211120002010001200
423220131112303221021220
523201141221312404003
6300450011140444200
713530050022513255
oct1350352663511150
9221121746063050
1051158811841128
111533436a638862
1258a2b066a9660
132271341a4b834
14c8c15783842c
155dab588b66a3
hex2e8756ce9268

51158811841128 has 96 divisors (see below), whose sum is σ = 141949306011240. Its totient is φ = 16638746042880.

The previous prime is 51158811841127. The next prime is 51158811841129. The reversal of 51158811841128 is 82114811885115.

51158811841128 is a `hidden beast` number, since 5 + 1 + 1 + 588 + 1 + 1 + 8 + 41 + 12 + 8 = 666.

51158811841128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51158811841127) and next prime (51158811841129).

It can be written as a sum of positive squares in 4 ways, for example, as 34064241985764 + 17094569855364 = 5836458^2 + 4134558^2 .

It is a super-2 number, since 2×511588118411282 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51158811841127) 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 23 ways as a sum of consecutive naturals, for example, 36343551 + ... + 37724942.

Almost surely, 251158811841128 is an apocalyptic number.

It is an amenable number.

51158811841128 is an abundant number, since it is smaller than the sum of its proper divisors (90790494170112).

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

51158811841128 is a wasteful number, since it uses less digits than its factorization.

51158811841128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74068739 (or 74068732 counting only the distinct ones).

The product of its digits is 819200, while the sum is 54.

The spelling of 51158811841128 in words is "fifty-one trillion, one hundred fifty-eight billion, eight hundred eleven million, eight hundred forty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 181 212 318 362 424 477 543 636 724 954 1086 1272 1448 1629 1908 2172 3258 3816 4344 6516 9593 13032 19186 28779 38372 57558 76744 86337 115116 172674 230232 345348 690696 74068493 148136986 222205479 296273972 444410958 592547944 666616437 888821916 1333232874 1777643832 2666465748 3925630129 5332931496 7851260258 11776890387 13406397233 15702520516 23553780774 26812794466 31405041032 35330671161 40219191699 47107561548 53625588932 70661342322 80438383398 94215123096 107251177864 120657575097 141322684644 160876766796 241315150194 282645369288 321753533592 482630300388 710539053349 965260600776 1421078106698 2131617160047 2842156213396 4263234320094 5684312426792 6394851480141 8526468640188 12789702960282 17052937280376 25579405920564 51158811841128