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97836603984 = 243271747331367
BaseRepresentation
bin101101100011110000…
…1000001101001010000
3100100112101211102211100
41123013201001221100
53100332132311414
6112540121544400
710032324261330
oct1330741015120
9310471742740
1097836603984
1138546237709
1216b65345100
1392c2555c62
144a419d10c0
15282934d609
hex16c7841a50

97836603984 has 480 divisors, whose sum is σ = 340325646336. Its totient is φ = 25601495040.

The previous prime is 97836603983. The next prime is 97836604051. The reversal of 97836603984 is 48930663879.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97836603983) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 266584569 + ... + 266584935.

Almost surely, 297836603984 is an apocalyptic number.

97836603984 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97836603984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170162823168).

97836603984 is an abundant number, since it is smaller than the sum of its proper divisors (242489042352).

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

97836603984 is a wasteful number, since it uses less digits than its factorization.

97836603984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 97836603984 in words is "ninety-seven billion, eight hundred thirty-six million, six hundred three thousand, nine hundred eighty-four".