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42933565728 = 2533112344249
BaseRepresentation
bin100111111111000010…
…100011100100100000
311002211010002010011000
4213333002203210200
51200411443100403
631420131152000
73046635200364
oct477702434440
9132733063130
1042933565728
1117231973429
1283a2445600
134082a76281
14211403d2a4
1511b43067a3
hex9ff0a3920

42933565728 has 96 divisors (see below), whose sum is σ = 125337240000. Its totient is φ = 14298121728.

The previous prime is 42933565721. The next prime is 42933565729. The reversal of 42933565728 is 82756533924.

42933565728 is a `hidden beast` number, since 4 + 2 + 9 + 3 + 3 + 565 + 72 + 8 = 666.

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

It is a super-2 number, since 2×429335657282 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42933565721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 948148 + ... + 992396.

It is an arithmetic number, because the mean of its divisors is an integer number (1305596250).

Almost surely, 242933565728 is an apocalyptic number.

42933565728 is a gapful number since it is divisible by the number (48) 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 42933565728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62668620000).

42933565728 is an abundant number, since it is smaller than the sum of its proper divisors (82403674272).

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

42933565728 is a wasteful number, since it uses less digits than its factorization.

42933565728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45391 (or 45377 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 42933565728 in words is "forty-two billion, nine hundred thirty-three million, five hundred sixty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1123 2246 3369 4492 6738 8984 10107 13476 17968 20214 26952 30321 35936 40428 44249 53904 60642 80856 88498 107808 121284 132747 161712 176996 242568 265494 323424 353992 398241 485136 530988 707984 796482 970272 1061976 1194723 1415968 1592964 2123952 2389446 3185928 4247904 4778892 6371856 9557784 12743712 19115568 38231136 49691627 99383254 149074881 198766508 298149762 397533016 447224643 596299524 795066032 894449286 1192599048 1341673929 1590132064 1788898572 2385198096 2683347858 3577797144 4770396192 5366695716 7155594288 10733391432 14311188576 21466782864 42933565728