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242536345524 = 223311331616783
BaseRepresentation
bin1110000111100001001…
…0101110111110110100
3212012000202220220222000
43201320102232332310
512433203301024044
6303230351335300
723344163631114
oct3417022567664
9765022826860
10242536345524
119394a498170
123b008b21530
1319b429b81b5
14ba4b481044
156497965d69
hex38784aefb4

242536345524 has 96 divisors (see below), whose sum is σ = 688034887680. Its totient is φ = 73273701600.

The previous prime is 242536345481. The next prime is 242536345549. The reversal of 242536345524 is 425543635242.

242536345524 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 3 + 634 + 5 + 5 + 2 + 4 = 666.

It is a super-2 number, since 2×2425363455242 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 242536345524.

It is a congruent number.

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, 84837 + ... + 701619.

It is an arithmetic number, because the mean of its divisors is an integer number (7167030080).

Almost surely, 2242536345524 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 242536345524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344017443840).

242536345524 is an abundant number, since it is smaller than the sum of its proper divisors (445498542156).

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

242536345524 is a wasteful number, since it uses less digits than its factorization.

242536345524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617138 (or 617130 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 45.

The spelling of 242536345524 in words is "two hundred forty-two billion, five hundred thirty-six million, three hundred forty-five thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 331 396 594 662 993 1188 1324 1986 2979 3641 3972 5958 7282 8937 10923 11916 14564 17874 21846 32769 35748 43692 65538 98307 131076 196614 393228 616783 1233566 1850349 2467132 3700698 5551047 6784613 7401396 11102094 13569226 16653141 20353839 22204188 27138452 33306282 40707678 61061517 66612564 81415356 122123034 183184551 204155173 244246068 366369102 408310346 612465519 732738204 816620692 1224931038 1837396557 2245706903 2449862076 3674793114 4491413806 5512189671 6737120709 7349586228 8982827612 11024379342 13474241418 20211362127 22048758684 26948482836 40422724254 60634086381 80845448508 121268172762 242536345524