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97948262420 = 2256180285461
BaseRepresentation
bin101101100111000101…
…0111110000000010100
3100100211011221021101222
41123032022332000110
53101044223344140
6112555151105512
710035151331201
oct1331612760024
9310734837358
1097948262420
11385a3271308
1216b96812298
13930c71c138
144a52778ca8
1528340575b5
hex16ce2be014

97948262420 has 24 divisors (see below), whose sum is σ = 209063343048. Its totient is φ = 38537020800.

The previous prime is 97948262413. The next prime is 97948262429. The reversal of 97948262420 is 2426284979.

It can be written as a sum of positive squares in 4 ways, for example, as 1408801156 + 96539461264 = 37534^2 + 310708^2 .

It is a super-2 number, since 2×979482624202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97948262429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40141511 + ... + 40143950.

It is an arithmetic number, because the mean of its divisors is an integer number (8710972627).

Almost surely, 297948262420 is an apocalyptic number.

It is an amenable number.

97948262420 is an abundant number, since it is smaller than the sum of its proper divisors (111115080628).

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

97948262420 is a wasteful number, since it uses less digits than its factorization.

97948262420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80285531 (or 80285529 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 97948262420 in words is "ninety-seven billion, nine hundred forty-eight million, two hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 80285461 160570922 321141844 401427305 802854610 1605709220 4897413121 9794826242 19589652484 24487065605 48974131210 97948262420