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97853922584 = 23112733137911
BaseRepresentation
bin101101100100010001…
…1000101110100011000
3100100120121102022110222
41123020203011310120
53100401101010314
6112541541055212
710032624422015
oct1331043056430
9310517368428
1097853922584
1138554a96400
1216b6b0b7508
1392c600aa52
144a4401c70c
15282ab1ec8e
hex16c88c5d18

97853922584 has 48 divisors (see below), whose sum is σ = 201948678960. Its totient is φ = 44418052800.

The previous prime is 97853922577. The next prime is 97853922611. The reversal of 97853922584 is 48522935879.

97853922584 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 640589 + ... + 778499.

It is an arithmetic number, because the mean of its divisors is an integer number (4207264145).

Almost surely, 297853922584 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 97853922584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100974339480).

97853922584 is an abundant number, since it is smaller than the sum of its proper divisors (104094756376).

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

97853922584 is a wasteful number, since it uses less digits than its factorization.

97853922584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138672 (or 138657 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 62.

The spelling of 97853922584 in words is "ninety-seven billion, eight hundred fifty-three million, nine hundred twenty-two thousand, five hundred eighty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 733 968 1466 2932 5864 8063 16126 32252 64504 88693 137911 177386 275822 354772 551644 709544 1103288 1517021 3034042 6068084 12136168 16687231 33374462 66748924 101088763 133497848 202177526 404355052 808710104 1111976393 2223952786 4447905572 8895811144 12231740323 24463480646 48926961292 97853922584