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55015780352 = 212133133329
BaseRepresentation
bin110011001111001100…
…100011000000000000
312021000010220012202112
4303033030203000000
51400133014432402
641135055034452
73655225263041
oct631714430000
9167003805675
1055015780352
1121371a79075
12a7b480ba28
135259c651b0
14293c93c8c8
15166edb6e52
hexccf323000

55015780352 has 104 divisors (see below), whose sum is σ = 122306701440. Its totient is φ = 24572067840.

The previous prime is 55015780333. The next prime is 55015780381. The reversal of 55015780352 is 25308751055.

It is a tau number, because it is divible by the number of its divisors (104).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1634024 + ... + 1667352.

Almost surely, 255015780352 is an apocalyptic number.

55015780352 is a gapful number since it is divisible by the number (52) 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 55015780352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61153350720).

55015780352 is an abundant number, since it is smaller than the sum of its proper divisors (67290921088).

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

55015780352 is a wasteful number, since it uses less digits than its factorization.

55015780352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33397 (or 33375 counting only the distinct ones).

The product of its (nonzero) digits is 210000, while the sum is 41.

The spelling of 55015780352 in words is "fifty-five billion, fifteen million, seven hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 512 806 832 992 1024 1612 1664 1984 2048 3224 3328 3968 4096 6448 6656 7936 12896 13312 15872 25792 26624 31744 33329 51584 53248 63488 66658 103168 126976 133316 206336 266632 412672 433277 533264 825344 866554 1033199 1066528 1650688 1733108 2066398 2133056 3466216 4132796 4266112 6932432 8265592 8532224 13431587 13864864 16531184 17064448 26863174 27729728 33062368 34128896 53726348 55459456 66124736 68257792 107452696 110918912 132249472 136515584 214905392 221837824 264498944 429810784 443675648 528997888 859621568 887351296 1057995776 1719243136 1774702592 2115991552 3438486272 4231983104 6876972544 13753945088 27507890176 55015780352