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52077743508 = 22373110311471
BaseRepresentation
bin110000100000000100…
…110100110110010100
311222102101110110220010
4300200010310312110
51323123400243013
635531342440220
73522351342000
oct604004646624
9158371413803
1052077743508
11200a458a54a
12a114893070
134bac36735b
142740665700
15154beb27c3
hexc20134d94

52077743508 has 96 divisors (see below), whose sum is σ = 141848985600. Its totient is φ = 14864569440.

The previous prime is 52077743507. The next prime is 52077743567. The reversal of 52077743508 is 80534777025.

It is a super-2 number, since 2×520777435082 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52077743503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4534213 + ... + 4545683.

It is an arithmetic number, because the mean of its divisors is an integer number (1477593600).

Almost surely, 252077743508 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 52077743508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70924492800).

52077743508 is an abundant number, since it is smaller than the sum of its proper divisors (89771242092).

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

52077743508 is a wasteful number, since it uses less digits than its factorization.

52077743508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12602 (or 12586 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 48.

The spelling of 52077743508 in words is "fifty-two billion, seventy-seven million, seven hundred forty-three thousand, five hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1103 1372 2058 2206 3309 4116 4412 6618 7721 11471 13236 15442 22942 23163 30884 34413 45884 46326 54047 68826 80297 92652 108094 137652 160594 162141 216188 240891 321188 324282 378329 481782 562079 648564 756658 963564 1124158 1134987 1513316 1686237 2248316 2269974 3372474 3934553 4539948 6744948 7869106 11803659 12652513 15738212 23607318 25305026 37957539 47214636 50610052 75915078 88567591 151830156 177135182 265702773 354270364 531405546 619973137 1062811092 1239946274 1859919411 2479892548 3719838822 4339811959 7439677644 8679623918 13019435877 17359247836 26038871754 52077743508