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114748066464 = 25323389133597
BaseRepresentation
bin110101011011110000…
…1001000101010100000
3101222011222201202002120
41222313201020222200
53340001001111324
6124414201144240
711201364320553
oct1526741105240
9358158652076
10114748066464
1144734323789
121a2a4a8b080
13aa890b9ca5
1457a7a2469a
152eb8d87179
hex1ab7848aa0

114748066464 has 96 divisors (see below), whose sum is σ = 315120274560. Its totient is φ = 36492014592.

The previous prime is 114748066463. The next prime is 114748066483. The reversal of 114748066464 is 464660847411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1147480664642 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114748066463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792114 + ... + 925710.

It is an arithmetic number, because the mean of its divisors is an integer number (3282502860).

Almost surely, 2114748066464 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 114748066464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157560137280).

114748066464 is an abundant number, since it is smaller than the sum of its proper divisors (200372208096).

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

114748066464 is a wasteful number, since it uses less digits than its factorization.

114748066464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134022 (or 134014 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 114748066464 in words is "one hundred fourteen billion, seven hundred forty-eight million, sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 389 552 736 778 1104 1167 1556 2208 2334 3112 4668 6224 8947 9336 12448 17894 18672 26841 35788 37344 53682 71576 107364 133597 143152 214728 267194 286304 400791 429456 534388 801582 858912 1068776 1603164 2137552 3072731 3206328 4275104 6145462 6412656 9218193 12290924 12825312 18436386 24581848 36872772 49163696 51969233 73745544 98327392 103938466 147491088 155907699 207876932 294982176 311815398 415753864 623630796 831507728 1195292359 1247261592 1663015456 2390584718 2494523184 3585877077 4781169436 4989046368 7171754154 9562338872 14343508308 19124677744 28687016616 38249355488 57374033232 114748066464