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7137438552 = 233337388589
BaseRepresentation
bin1101010010110110…
…01010101101011000
3200102102100110001000
412221123022231120
5104104141013202
63140124025000
7341605140516
oct65133125530
920372313030
107137438552
113032997252
121472392160
1389992742a
144b9cd54b6
152bb91691c
hex1a96cab58

7137438552 has 64 divisors (see below), whose sum is σ = 19879596000. Its totient is φ = 2372740992.

The previous prime is 7137438541. The next prime is 7137438557. The reversal of 7137438552 is 2558347317.

It is a junction number, because it is equal to n+sod(n) for n = 7137438498 and 7137438507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7137438557) 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, 36274 + ... + 124862.

Almost surely, 27137438552 is an apocalyptic number.

7137438552 is a gapful number since it is divisible by the number (72) 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 7137438552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9939798000).

7137438552 is an abundant number, since it is smaller than the sum of its proper divisors (12742157448).

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

7137438552 is a wasteful number, since it uses less digits than its factorization.

7137438552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88977 (or 88967 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 7137438552 is about 84483.3625751248. The cubic root of 7137438552 is about 1925.3696756272.

The spelling of 7137438552 in words is "seven billion, one hundred thirty-seven million, four hundred thirty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 373 746 1119 1492 2238 2984 3357 4476 6714 8952 10071 13428 20142 26856 40284 80568 88589 177178 265767 354356 531534 708712 797301 1063068 1594602 2126136 2391903 3189204 4783806 6378408 9567612 19135224 33043697 66087394 99131091 132174788 198262182 264349576 297393273 396524364 594786546 793048728 892179819 1189573092 1784359638 2379146184 3568719276 7137438552