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99127555072 = 2107213151969
BaseRepresentation
bin101110001010001110…
…1100111010000000000
3100110212100222112210121
41130110131213100000
53111003123230242
6113312155310024
710106321213200
oct1342435472000
9313770875717
1099127555072
1139048a14337
121726574b314
139469b43240
144b25238400
1528a2852667
hex1714767400

99127555072 has 132 divisors (see below), whose sum is σ = 248243906820. Its totient is φ = 39215038464.

The previous prime is 99127555061. The next prime is 99127555091. The reversal of 99127555072 is 27055572199.

It can be written as a sum of positive squares in 2 ways, for example, as 46822035456 + 52305519616 = 216384^2 + 228704^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 576304 + ... + 728272.

Almost surely, 299127555072 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 99127555072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124121953410).

99127555072 is an abundant number, since it is smaller than the sum of its proper divisors (149116351748).

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

99127555072 is a wasteful number, since it uses less digits than its factorization.

99127555072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152016 (or 151991 counting only the distinct ones).

The product of its (nonzero) digits is 1984500, while the sum is 52.

The spelling of 99127555072 in words is "ninety-nine billion, one hundred twenty-seven million, five hundred fifty-five thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 364 392 416 448 512 637 728 784 832 896 1024 1274 1456 1568 1664 1792 2548 2912 3136 3328 3584 5096 5824 6272 6656 7168 10192 11648 12544 13312 20384 23296 25088 40768 46592 50176 81536 93184 151969 163072 303938 326144 607876 652288 1063783 1215752 1975597 2127566 2431504 3951194 4255132 4863008 7446481 7902388 8510264 9726016 13829179 14892962 15804776 17020528 19452032 27658358 29785924 31609552 34041056 38904064 55316716 59571848 63219104 68082112 77808128 96804253 110633432 119143696 126438208 136164224 155616256 193608506 221266864 238287392 252876416 272328448 387217012 442533728 476574784 505752832 544656896 774434024 885067456 953149568 1011505664 1089313792 1548868048 1770134912 1906299136 2023011328 3097736096 3540269824 3812598272 6195472192 7080539648 7625196544 12390944384 14161079296 24781888768 49563777536 99127555072