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2166090004848 = 24371123711312743
BaseRepresentation
bin11111100001010101000…
…001100111100101110000
321200002001112111022002010
4133201111001213211300
5240442123020123343
64335031002122520
7312331505152320
oct37412501474560
97602045438063
102166090004848
117656a7379800
122ab9771b0440
13129352420c53
1476ba7121280
153b529430d33
hex1f855067970

2166090004848 has 480 divisors, whose sum is σ = 7283791807488. Its totient is φ = 542527856640.

The previous prime is 2166090004807. The next prime is 2166090004861. The reversal of 2166090004848 is 8484000906612.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2166090004797 and 2166090004806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169976365 + ... + 169989107.

Almost surely, 22166090004848 is an apocalyptic number.

2166090004848 is a gapful number since it is divisible by the number (28) 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 2166090004848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641895903744).

2166090004848 is an abundant number, since it is smaller than the sum of its proper divisors (5117701802640).

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

2166090004848 is a wasteful number, since it uses less digits than its factorization.

2166090004848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12933 (or 12916 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 2166090004848 in words is "two trillion, one hundred sixty-six billion, ninety million, four thousand, eight hundred forty-eight".