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2095087152 = 243734191427
BaseRepresentation
bin111110011100000…
…0111111000110000
312102000021110021110
41330320013320300
513242320242102
6543520553320
7102626642544
oct17470077060
95360243243
102095087152
11985692a94
124a5782840
1327508a952
1415c36ba24
15c3de686c
hex7ce07e30

2095087152 has 80 divisors (see below), whose sum is σ = 5503397760. Its totient is φ = 686670336.

The previous prime is 2095087103. The next prime is 2095087177. The reversal of 2095087152 is 2517805902.

It is a super-2 number, since 2×20950871522 = 8778780348950942208, which contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2095087152.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1467463 + ... + 1468889.

It is an arithmetic number, because the mean of its divisors is an integer number (68792472).

Almost surely, 22095087152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2095087152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751698880).

2095087152 is an abundant number, since it is smaller than the sum of its proper divisors (3408310608).

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

2095087152 is a wasteful number, since it uses less digits than its factorization.

2095087152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 2095087152 is about 45772.1219958175. The cubic root of 2095087152 is about 1279.5797676490.

The spelling of 2095087152 in words is "two billion, ninety-five million, eighty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 419 438 584 838 876 1168 1257 1427 1676 1752 2514 2854 3352 3504 4281 5028 5708 6704 8562 10056 11416 17124 20112 22832 30587 34248 61174 68496 91761 104171 122348 183522 208342 244696 312513 367044 416684 489392 597913 625026 734088 833368 1195826 1250052 1468176 1666736 1793739 2391652 2500104 3587478 4783304 5000208 7174956 9566608 14349912 28699824 43647649 87295298 130942947 174590596 261885894 349181192 523771788 698362384 1047543576 2095087152