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51344134176 = 2534389139753
BaseRepresentation
bin101111110100010110…
…010101000000100000
311220112021001021002010
4233310112111000200
51320123044243201
635330454552520
73465232640166
oct576426250040
9156467037063
1051344134176
111a858474a45
129b4b068740
134ac338b1aa
1426b105d236
1515078a1bd6
hexbf4595020

51344134176 has 96 divisors (see below), whose sum is σ = 139463311680. Its totient is φ = 16528748544.

The previous prime is 51344134159. The next prime is 51344134313. The reversal of 51344134176 is 67143144315.

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

It is a super-2 number, since 2×513441341762 (a number of 22 digits) contains 22 as substring.

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, 297516 + ... + 437268.

It is an arithmetic number, because the mean of its divisors is an integer number (1452742830).

Almost surely, 251344134176 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 51344134176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69731655840).

51344134176 is an abundant number, since it is smaller than the sum of its proper divisors (88119177504).

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

51344134176 is a wasteful number, since it uses less digits than its factorization.

51344134176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139898 (or 139890 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The spelling of 51344134176 in words is "fifty-one billion, three hundred forty-four million, one hundred thirty-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 89 96 129 172 178 258 267 344 356 516 534 688 712 1032 1068 1376 1424 2064 2136 2848 3827 4128 4272 7654 8544 11481 15308 22962 30616 45924 61232 91848 122464 139753 183696 279506 367392 419259 559012 838518 1118024 1677036 2236048 3354072 4472096 6009379 6708144 12018758 12438017 13416288 18028137 24037516 24876034 36056274 37314051 48075032 49752068 72112548 74628102 96150064 99504136 144225096 149256204 192300128 199008272 288450192 298512408 398016544 534834731 576900384 597024816 1069669462 1194049632 1604504193 2139338924 3209008386 4278677848 6418016772 8557355696 12836033544 17114711392 25672067088 51344134176