Search a number
-
+
2096951560704 = 2932711131971337
BaseRepresentation
bin11110100000111100000…
…011011000101000000000
321102110121011022102122200
4132200330003120220000
5233324024044420304
64243154245233200
7304333262113320
oct36407403305000
97373534272580
102096951560704
11739348541370
1229a4a0a02800
1312298462c680
14736c8ad9280
153982e7a5e39
hex1e83c0d8a00

2096951560704 has 1920 divisors, whose sum is σ = 8699563192320. Its totient is φ = 468202291200.

The previous prime is 2096951560657. The next prime is 2096951560727. The reversal of 2096951560704 is 4070651596902.

2096951560704 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 9 + 5 + 1 + 560 + 70 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6222408024 + ... + 6222408360.

It is an arithmetic number, because the mean of its divisors is an integer number (4531022496).

Almost surely, 22096951560704 is an apocalyptic number.

2096951560704 is a gapful number since it is divisible by the number (24) 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 2096951560704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349781596160).

2096951560704 is an abundant number, since it is smaller than the sum of its proper divisors (6602611631616).

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

2096951560704 is a wasteful number, since it uses less digits than its factorization.

2096951560704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 2096951560704 in words is "two trillion, ninety-six billion, nine hundred fifty-one million, five hundred sixty thousand, seven hundred four".