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9941997653856 = 2537612328869
BaseRepresentation
bin1001000010101100110100…
…1111010000111101100000
31022012110000220120210000000
42100223031033100331200
52300342202344410411
633051142441300000
72044166653500312
oct220531517207540
938173026523000
109941997653856
113193417540964
1211469aaa94600
135716ac533848
142652a3ac37b2
15123932c8c956
hex90acd3d0f60

9941997653856 has 192 divisors, whose sum is σ = 29836737201600. Its totient is φ = 3259669962240.

The previous prime is 9941997653813. The next prime is 9941997653879. The reversal of 9941997653856 is 6583567991499.

9941997653856 is a `hidden beast` number, since 9 + 9 + 4 + 1 + 9 + 9 + 76 + 538 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3104590 + ... + 5433458.

It is an arithmetic number, because the mean of its divisors is an integer number (155399672925).

Almost surely, 29941997653856 is an apocalyptic number.

9941997653856 is a gapful number since it is divisible by the number (96) 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 9941997653856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14918368600800).

9941997653856 is an abundant number, since it is smaller than the sum of its proper divisors (19894739547744).

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

9941997653856 is an equidigital number, since it uses as much as digits as its factorization.

9941997653856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328961 (or 2328935 counting only the distinct ones).

The product of its digits is 3968092800, while the sum is 81.

The spelling of 9941997653856 in words is "nine trillion, nine hundred forty-one billion, nine hundred ninety-seven million, six hundred fifty-three thousand, eight hundred fifty-six".