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97884689056 = 2571140019929
BaseRepresentation
bin101101100101001100…
…0011101001010100000
3100100122202022102010221
41123022120131022200
53100431440022211
6112545000332424
710033450062130
oct1331230351240
9310582272127
1097884689056
113857039a740
1216b79474114
1392cc4c086b
144a4814aac0
15282d69ac71
hex16ca61d2a0

97884689056 has 96 divisors (see below), whose sum is σ = 240346673280. Its totient is φ = 38123520000.

The previous prime is 97884689051. The next prime is 97884689087. The reversal of 97884689056 is 65098648879.

It is a super-2 number, since 2×978846890562 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97884689051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9853500 + ... + 9863428.

It is an arithmetic number, because the mean of its divisors is an integer number (2503611180).

Almost surely, 297884689056 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 97884689056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120173336640).

97884689056 is an abundant number, since it is smaller than the sum of its proper divisors (142461984224).

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

97884689056 is a wasteful number, since it uses less digits than its factorization.

97884689056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13958 (or 13950 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 70.

The spelling of 97884689056 in words is "ninety-seven billion, eight hundred eighty-four million, six hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 4001 8002 9929 16004 19858 28007 32008 39716 44011 56014 64016 69503 79432 88022 109219 112028 128032 139006 158864 176044 218438 224056 278012 308077 317728 352088 436876 448112 556024 616154 704176 764533 873752 896224 1112048 1232308 1408352 1529066 1747504 2224096 2464616 3058132 3495008 4929232 6116264 9858464 12232528 24465056 39725929 79451858 158903716 278081503 317807432 436985219 556163006 635614864 873970438 1112326012 1271229728 1747940876 2224652024 3058896533 3495881752 4449304048 6117793066 6991763504 8898608096 12235586132 13983527008 24471172264 48942344528 97884689056