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2090362676832 = 25328981552851
BaseRepresentation
bin11110011010110011010…
…100110010011001100000
321101211120222011110011200
4132122303110302121200
5233222030321124312
64240144354441200
7304011064404333
oct36326324623140
97354528143150
102090362676832
117365772653a1
12299162293200
1312217455a911
14732619d861a
15395960e90dc
hex1e6b3532660

2090362676832 has 72 divisors (see below), whose sum is σ = 6011260720920. Its totient is φ = 688958476800.

The previous prime is 2090362676827. The next prime is 2090362676837. The reversal of 2090362676832 is 2386762630902.

2090362676832 is a `hidden beast` number, since 2 + 0 + 9 + 0 + 3 + 626 + 7 + 6 + 8 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2090362676827) and next prime (2090362676837).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×20903626768322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2090362676837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40750794 + ... + 40802057.

It is an arithmetic number, because the mean of its divisors is an integer number (83489732235).

Almost surely, 22090362676832 is an apocalyptic number.

It is an amenable number.

2090362676832 is an abundant number, since it is smaller than the sum of its proper divisors (3920898044088).

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

2090362676832 is a wasteful number, since it uses less digits than its factorization.

2090362676832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81552956 (or 81552945 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 2090362676832 in words is "two trillion, ninety billion, three hundred sixty-two million, six hundred seventy-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 356 534 712 801 1068 1424 1602 2136 2848 3204 4272 6408 8544 12816 25632 81552851 163105702 244658553 326211404 489317106 652422808 733975659 978634212 1304845616 1467951318 1957268424 2609691232 2935902636 3914536848 5871805272 7258203739 7829073696 11743610544 14516407478 21774611217 23487221088 29032814956 43549222434 58065629912 65323833651 87098444868 116131259824 130647667302 174196889736 232262519648 261295334604 348393779472 522590669208 696787558944 1045181338416 2090362676832