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201296401464 = 23317716948923
BaseRepresentation
bin1011101101111000110…
…0110101010000111000
3201020120200200200222110
42323132030311100320
511244223334321324
6232250240252320
720354212116054
oct2733614652070
9636520620873
10201296401464
1178407630874
12330199110a0
1315c9ca97232
149a58346c64
1553821a3329
hex2ede335438

201296401464 has 64 divisors (see below), whose sum is σ = 540348330240. Its totient is φ = 62262341120.

The previous prime is 201296401433. The next prime is 201296401487. The reversal of 201296401464 is 464104692102.

It is a super-2 number, since 2×2012964014642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3445494 + ... + 3503429.

It is an arithmetic number, because the mean of its divisors is an integer number (8442942660).

Almost surely, 2201296401464 is an apocalyptic number.

201296401464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201296401464 is an abundant number, since it is smaller than the sum of its proper divisors (339051928776).

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

201296401464 is a wasteful number, since it uses less digits than its factorization.

201296401464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6949020 (or 6949016 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 201296401464 in words is "two hundred one billion, two hundred ninety-six million, four hundred one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 71 102 136 142 204 213 284 408 426 568 852 1207 1704 2414 3621 4828 7242 9656 14484 28968 6948923 13897846 20846769 27795692 41693538 55591384 83387076 118131691 166774152 236263382 354395073 472526764 493373533 708790146 945053528 986747066 1417580292 1480120599 1973494132 2835160584 2960241198 3946988264 5920482396 8387350061 11840964792 16774700122 25162050183 33549400244 50324100366 67098800488 100648200732 201296401464