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2146525721340 = 22357111335739689
BaseRepresentation
bin11111001111000110111…
…001110011001011111100
321121012120001211201111020
4133033012321303023330
5240132041041040330
64322033355424140
7311036623405020
oct37170671631374
97535501751436
102146525721340
1175837789aa60
122a8017155050
131275550b1830
1475c6ca5a380
153ac81a81210
hex1f3c6e732fc

2146525721340 has 192 divisors, whose sum is σ = 8069736084480. Its totient is φ = 411721205760.

The previous prime is 2146525721273. The next prime is 2146525721359. The reversal of 2146525721340 is 431275256412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2146525721292 and 2146525721301.

It is a congruent number.

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, 17809785 + ... + 17929904.

It is an arithmetic number, because the mean of its divisors is an integer number (42029875440).

Almost surely, 22146525721340 is an apocalyptic number.

2146525721340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2146525721340 is an abundant number, since it is smaller than the sum of its proper divisors (5923210363140).

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

2146525721340 is a wasteful number, since it uses less digits than its factorization.

2146525721340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35739732 (or 35739730 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 2146525721340 in words is "two trillion, one hundred forty-six billion, five hundred twenty-five million, seven hundred twenty-one thousand, three hundred forty".