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53714313648 = 2433295380897
BaseRepresentation
bin110010000001100111…
…110110000110110000
312010122102221212002000
4302001213312012300
51340001331014043
640402004054000
73611043063342
oct620147660660
9163572855060
1053714313648
1120864369956
12a4b0994300
1350b0435758
142857b59292
1515e59d72d3
hexc819f61b0

53714313648 has 160 divisors (see below), whose sum is σ = 162507902400. Its totient is φ = 16960978944.

The previous prime is 53714313623. The next prime is 53714313683. The reversal of 53714313648 is 84631341735.

53714313648 is a `hidden beast` number, since 537 + 1 + 43 + 1 + 36 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623536 + ... + 704432.

It is an arithmetic number, because the mean of its divisors is an integer number (1015674390).

Almost surely, 253714313648 is an apocalyptic number.

53714313648 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53714313648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81253951200).

53714313648 is an abundant number, since it is smaller than the sum of its proper divisors (108793588752).

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

53714313648 is a wasteful number, since it uses less digits than its factorization.

53714313648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80996 (or 80984 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 53714313648 in words is "fifty-three billion, seven hundred fourteen million, three hundred thirteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 53 54 58 72 87 106 108 116 144 159 174 212 216 232 261 318 348 424 432 464 477 522 636 696 783 848 954 1044 1272 1392 1431 1537 1566 1908 2088 2544 2862 3074 3132 3816 4176 4611 5724 6148 6264 7632 9222 11448 12296 12528 13833 18444 22896 24592 27666 36888 41499 55332 73776 80897 82998 110664 161794 165996 221328 242691 323588 331992 485382 647176 663984 728073 970764 1294352 1456146 1941528 2184219 2346013 2912292 3883056 4287541 4368438 4692026 5824584 7038039 8575082 8736876 9384052 11649168 12862623 14076078 17150164 17473752 18768104 21114117 25725246 28152156 34300328 34947504 37536208 38587869 42228234 51450492 56304312 63342351 68600656 77175738 84456468 102900984 112608624 115763607 124338689 126684702 154351476 168912936 205801968 231527214 248677378 253369404 308702952 337825872 373016067 463054428 497354756 506738808 617405904 746032134 926108856 994709512 1013477616 1119048201 1492064268 1852217712 1989419024 2238096402 2984128536 3357144603 4476192804 5968257072 6714289206 8952385608 13428578412 17904771216 26857156824 53714313648