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52353615040 = 2654129313619
BaseRepresentation
bin110000110000100001…
…001100010011000000
312000010121120012111021
4300300201030103000
51324210011140130
640014555355224
73532241246116
oct606041142300
9160117505437
1052353615040
1120226283951
12a191152b14
134c2456784c
142769157ab6
15156630737a
hexc3084c4c0

52353615040 has 112 divisors (see below), whose sum is σ = 128152977120. Its totient is φ = 20359454720.

The previous prime is 52353615031. The next prime is 52353615103. The reversal of 52353615040 is 4051635325.

It is a junction number, because it is equal to n+sod(n) for n = 52353614987 and 52353615005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3837351 + ... + 3850969.

It is an arithmetic number, because the mean of its divisors is an integer number (1144223010).

Almost surely, 252353615040 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 52353615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64076488560).

52353615040 is an abundant number, since it is smaller than the sum of its proper divisors (75799362080).

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

52353615040 is a wasteful number, since it uses less digits than its factorization.

52353615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13970 (or 13960 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 34.

The spelling of 52353615040 in words is "fifty-two billion, three hundred fifty-three million, six hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 293 320 328 410 586 656 820 1172 1312 1465 1640 2344 2624 2930 3280 4688 5860 6560 9376 11720 12013 13120 13619 18752 23440 24026 27238 46880 48052 54476 60065 68095 93760 96104 108952 120130 136190 192208 217904 240260 272380 384416 435808 480520 544760 558379 768832 871616 961040 1089520 1116758 1922080 2179040 2233516 2791895 3844160 3990367 4358080 4467032 5583790 7980734 8934064 11167580 15961468 17868128 19951835 22335160 31922936 35736256 39903670 44670320 63845872 79807340 89340640 127691744 159614680 163605047 178681280 255383488 319229360 327210094 638458720 654420188 818025235 1276917440 1308840376 1636050470 2617680752 3272100940 5235361504 6544201880 10470723008 13088403760 26176807520 52353615040