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2151119444640 = 2535179726910103
BaseRepresentation
bin11111010011011000101…
…101011101101010100000
321121122102012202001012020
4133103120231131222200
5240220443034212030
64324113255101440
7311261513406225
oct37233055355240
97548365661166
102151119444640
1175a3149352a1
122a8a99671880
13127b07a11bba
1476186ba194c
153ae4eed4510
hex1f4d8b5daa0

2151119444640 has 384 divisors, whose sum is σ = 7276247677440. Its totient is φ = 532283916288.

The previous prime is 2151119444633. The next prime is 2151119444659. The reversal of 2151119444640 is 464449111512.

It is a junction number, because it is equal to n+sod(n) for n = 2151119444592 and 2151119444601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212913829 + ... + 212923931.

It is an arithmetic number, because the mean of its divisors is an integer number (18948561660).

Almost surely, 22151119444640 is an apocalyptic number.

2151119444640 is a gapful number since it is divisible by the number (20) 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 2151119444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638123838720).

2151119444640 is an abundant number, since it is smaller than the sum of its proper divisors (5125128232800).

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

2151119444640 is a wasteful number, since it uses less digits than its factorization.

2151119444640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10504 (or 10496 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 2151119444640 in words is "two trillion, one hundred fifty-one billion, one hundred nineteen million, four hundred forty-four thousand, six hundred forty".