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97620314532 = 2231310322512699
BaseRepresentation
bin101101011101010011…
…1111100100110100100
3100022222022211210110220
41122322213330212210
53044411300031112
6112502434044340
710024056660666
oct1327247744644
9308868753426
1097620314532
11384451391a4
1216b04a196b0
1392897b7430
144a20dac536
15281537798c
hex16ba9fc9a4

97620314532 has 96 divisors (see below), whose sum is σ = 247885747200. Its totient is φ = 29721168000.

The previous prime is 97620314501. The next prime is 97620314537. The reversal of 97620314532 is 23541302679.

It is a super-2 number, since 2×976203145322 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97620314537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36167719 + ... + 36170417.

It is an arithmetic number, because the mean of its divisors is an integer number (2582143200).

Almost surely, 297620314532 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 97620314532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123942873600).

97620314532 is an abundant number, since it is smaller than the sum of its proper divisors (150265432668).

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

97620314532 is a wasteful number, since it uses less digits than its factorization.

97620314532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5073 (or 5071 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 97620314532 in words is "ninety-seven billion, six hundred twenty million, three hundred fourteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 103 156 206 309 412 618 1236 1339 2251 2678 2699 4017 4502 5356 5398 6753 8034 8097 9004 10796 13506 16068 16194 27012 29263 32388 35087 58526 70174 87789 105261 117052 140348 175578 210522 231853 277997 351156 421044 463706 555994 695559 833991 927412 1111988 1391118 1667982 2782236 3014089 3335964 3613961 6028178 6075449 7227922 9042267 10841883 12056356 12150898 14455844 18084534 18226347 21683766 24301796 36169068 36452694 43367532 72905388 78980837 157961674 236942511 315923348 473885022 625771247 947770044 1251542494 1877313741 2503084988 3754627482 7509254964 8135026211 16270052422 24405078633 32540104844 48810157266 97620314532