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97461295932 = 22371113312271153
BaseRepresentation
bin101101011000100100…
…1010101101100111100
3100022120020121210222010
41122301021111230330
53044100042432212
6112434553451220
710020116226630
oct1326111255474
9308506553863
1097461295932
11383733a7170
1216a7b710b10
13926287b5a0
144a07c16dc0
15280641603c
hex16b1255b3c

97461295932 has 384 divisors, whose sum is σ = 316845785088. Its totient is φ = 22494412800.

The previous prime is 97461295909. The next prime is 97461295951. The reversal of 97461295932 is 23959216479.

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 127 ways as a sum of consecutive naturals, for example, 84527868 + ... + 84529020.

It is an arithmetic number, because the mean of its divisors is an integer number (825119232).

Almost surely, 297461295932 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 97461295932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158422892544).

97461295932 is an abundant number, since it is smaller than the sum of its proper divisors (219384489156).

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

97461295932 is a wasteful number, since it uses less digits than its factorization.

97461295932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1447 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 57.

It can be divided in two parts, 97461 and 295932, that added together give a palindrome (393393).

The spelling of 97461295932 in words is "ninety-seven billion, four hundred sixty-one million, two hundred ninety-five thousand, nine hundred thirty-two".