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200753522088 = 233741109267389
BaseRepresentation
bin1011101011110111010…
…1111010010110101000
3201012011212011120110220
42322331311322112220
511242120400201323
6232120324410040
720334600532260
oct2727565722650
9635155146426
10200753522088
1178159147529
1232aa7b46920
1315c1447ab32
149a061cc7a0
15534e6ba0e3
hex2ebdd7a5a8

200753522088 has 128 divisors (see below), whose sum is σ = 592964064000. Its totient is φ = 55445575680.

The previous prime is 200753522029. The next prime is 200753522107. The reversal of 200753522088 is 880225357002.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617098 + ... + 884486.

It is an arithmetic number, because the mean of its divisors is an integer number (4632531750).

Almost surely, 2200753522088 is an apocalyptic number.

200753522088 is a gapful number since it is divisible by the number (28) 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 200753522088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296482032000).

200753522088 is an abundant number, since it is smaller than the sum of its proper divisors (392210541912).

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

200753522088 is a wasteful number, since it uses less digits than its factorization.

200753522088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267555 (or 267551 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 200753522088 in words is "two hundred billion, seven hundred fifty-three million, five hundred twenty-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 109 123 164 168 218 246 287 327 328 436 492 574 654 763 861 872 984 1148 1308 1526 1722 2289 2296 2616 3052 3444 4469 4578 6104 6888 8938 9156 13407 17876 18312 26814 31283 35752 53628 62566 93849 107256 125132 187698 250264 267389 375396 534778 750792 802167 1069556 1604334 1871723 2139112 3208668 3743446 5615169 6417336 7486892 10962949 11230338 14973784 21925898 22460676 29145401 32888847 43851796 44921352 58290802 65777694 76740643 87436203 87703592 116581604 131555388 153481286 174872406 204017807 230221929 233163208 263110776 306962572 349744812 408035614 460443858 612053421 613925144 699489624 816071228 920887716 1194961441 1224106842 1632142456 1841775432 2389922882 2448213684 3584884323 4779845764 4896427368 7169768646 8364730087 9559691528 14339537292 16729460174 25094190261 28679074584 33458920348 50188380522 66917840696 100376761044 200753522088