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97087753532 = 227115717432
BaseRepresentation
bin101101001101011100…
…0011000110100111100
3100021121012201220010102
41122122320120310330
53042313431103112
6112333531300232
710004632201010
oct1323270306474
9307535656112
1097087753532
11381a1562240
12169965aa678
139203371793
1449b037c540
1527d372bbc2
hex169ae18d3c

97087753532 has 72 divisors (see below), whose sum is σ = 212484784512. Its totient is φ = 37709330400.

The previous prime is 97087753523. The next prime is 97087753603. The reversal of 97087753532 is 23535778079.

It is a pancake number, because a pancake can be divided into 97087753532 parts by 440653 straight cuts.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130669553 + ... + 130670295.

Almost surely, 297087753532 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 97087753532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106242392256).

97087753532 is an abundant number, since it is smaller than the sum of its proper divisors (115397030980).

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

97087753532 is a wasteful number, since it uses less digits than its factorization.

97087753532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 11113200, while the sum is 56.

The spelling of 97087753532 in words is "ninety-seven billion, eighty-seven million, seven hundred fifty-three thousand, five hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 571 743 1142 1486 2284 2972 3997 5201 6281 7994 8173 10402 12562 15988 16346 20804 25124 32692 43967 57211 87934 114422 175868 228844 424253 552049 848506 1104098 1697012 2208196 2969771 3864343 4666783 5939542 6072539 7728686 9333566 11879084 12145078 15457372 18667132 24290156 32667481 42507773 65334962 85015546 130669924 170031092 315219979 630439958 1260879916 2206539853 3467419769 4413079706 6934839538 8826159412 13869679076 24271938383 48543876766 97087753532