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52008959574 = 233111326325609
BaseRepresentation
bin110000011011111110…
…011011111001010110
311222020121000220002000
4300123332123321112
51323003243201244
635520444300130
73520554601515
oct603376337126
9158217026060
1052008959574
112006977a120
12a0b5841646
134b9b0331c0
14273547c67c
151545e27169
hexc1bf9be56

52008959574 has 128 divisors (see below), whose sum is σ = 136302566400. Its totient is φ = 14492079360.

The previous prime is 52008959557. The next prime is 52008959591. The reversal of 52008959574 is 47595980025.

It is an interprime number because it is at equal distance from previous prime (52008959557) and next prime (52008959591).

It is a super-2 number, since 2×520089595742 (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 a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 52008959574.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2018082 + ... + 2043690.

It is an arithmetic number, because the mean of its divisors is an integer number (1064863800).

Almost surely, 252008959574 is an apocalyptic number.

52008959574 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 52008959574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68151283200).

52008959574 is an abundant number, since it is smaller than the sum of its proper divisors (84293606826).

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

52008959574 is a wasteful number, since it uses less digits than its factorization.

52008959574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25907 (or 25901 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 52008959574 in words is "fifty-two billion, eight million, nine hundred fifty-nine thousand, five hundred seventy-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 263 286 297 351 429 526 594 702 789 858 1287 1578 2367 2574 2893 3419 3861 4734 5786 6838 7101 7722 8679 10257 14202 17358 20514 25609 26037 30771 37609 51218 52074 61542 75218 76827 78111 92313 112827 153654 156222 184626 225654 230481 281699 332917 338481 460962 563398 665834 676962 691443 845097 998751 1015443 1382886 1690194 1997502 2030886 2535291 2996253 3662087 5070582 5992506 6735167 7324174 7605873 8988759 10986261 13470334 15211746 17977518 20205501 21972522 32958783 40411002 60616503 65917566 74086837 87557171 98876349 121233006 148173674 175114342 181849509 197752698 222260511 262671513 363699018 444521022 525343026 666781533 788014539 963128881 1333563066 1576029078 1926257762 2000344599 2364043617 2889386643 4000689198 4728087234 5778773286 8668159929 17336319858 26004479787 52008959574