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98970411384 = 23331323318191
BaseRepresentation
bin101110000101100011…
…0001010000101111000
3100110110102021211012000
41130023012022011320
53110142411131014
6113244423221000
710102402421265
oct1341306120570
9313412254160
1098970411384
1138a78242a19
1217220ba7760
139443412900
144b0c41026c
152893b61509
hex170b18a178

98970411384 has 192 divisors, whose sum is σ = 298627891200. Its totient is φ = 30356726400.

The previous prime is 98970411289. The next prime is 98970411391. The reversal of 98970411384 is 48311407989.

98970411384 is a `hidden beast` number, since 9 + 89 + 70 + 411 + 3 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 98970411384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12078729 + ... + 12086919.

It is an arithmetic number, because the mean of its divisors is an integer number (1555353600).

Almost surely, 298970411384 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 98970411384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149313945600).

98970411384 is an abundant number, since it is smaller than the sum of its proper divisors (199657479816).

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

98970411384 is a wasteful number, since it uses less digits than its factorization.

98970411384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8563 (or 8540 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 98970411384 in words is "ninety-eight billion, nine hundred seventy million, four hundred eleven thousand, three hundred eighty-four".