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52940056064 = 297233120717
BaseRepresentation
bin110001010011011110…
…010010011000000000
312001122111001111100012
4301103132102120000
51331410123243224
640153105044052
73552622023530
oct612336223000
9161574044305
1052940056064
11204a7310755
12a315626628
134cb8bc697c
1427c2db14c0
15159ca4780e
hexc53792600

52940056064 has 160 divisors (see below), whose sum is σ = 130219094016. Its totient is φ = 21001052160.

The previous prime is 52940056063. The next prime is 52940056067. The reversal of 52940056064 is 46065004925.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52940056063) 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, 2545034 + ... + 2565750.

Almost surely, 252940056064 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 52940056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65109547008).

52940056064 is an abundant number, since it is smaller than the sum of its proper divisors (77279037952).

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

52940056064 is a wasteful number, since it uses less digits than its factorization.

52940056064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20796 (or 20780 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 52940056064 in words is "fifty-two billion, nine hundred forty million, fifty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 56 62 64 92 112 124 128 161 184 217 224 248 256 322 368 434 448 496 512 644 713 736 868 896 992 1288 1426 1472 1736 1792 1984 2576 2852 2944 3472 3584 3968 4991 5152 5704 5888 6944 7936 9982 10304 11408 11776 13888 15872 19964 20608 20717 22816 27776 39928 41216 41434 45632 55552 79856 82432 82868 91264 111104 145019 159712 165736 182528 290038 319424 331472 365056 476491 580076 638848 642227 662944 952982 1160152 1277696 1284454 1325888 1905964 2320304 2555392 2568908 2651776 3335437 3811928 4495589 4640608 5137816 5303552 6670874 7623856 8991178 9281216 10275632 10607104 13341748 14771221 15247712 17982356 18562432 20551264 26683496 29542442 30495424 35964712 37124864 41102528 53366992 59084884 60990848 71929424 74249728 82205056 103398547 106733984 118169768 121981696 143858848 164410112 206797094 213467968 236339536 243963392 287717696 328820224 413594188 426935936 472679072 575435392 827188376 853871872 945358144 1150870784 1654376752 1707743744 1890716288 2301741568 3308753504 3781432576 6617507008 7562865152 13235014016 26470028032 52940056064