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2797117972 = 2211313176469
BaseRepresentation
bin1010011010111000…
…1010001000010100
321012221021022111221
42212232022020110
521212030233342
61141315540124
7126213052615
oct24656121024
97187238457
102797117972
11120599a150
126608ba644
1335765b4bc
141c76b3c0c
1511586aa67
hexa6b8a214

2797117972 has 48 divisors (see below), whose sum is σ = 5530452480. Its totient is φ = 1226332800.

The previous prime is 2797117969. The next prime is 2797117987.

It is a happy number.

2797117972 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429154 + ... + 435622.

It is an arithmetic number, because the mean of its divisors is an integer number (115217760).

Almost surely, 22797117972 is an apocalyptic number.

2797117972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2797117972 is a deficient number, since it is larger than the sum of its proper divisors (2733334508).

2797117972 is a wasteful number, since it uses less digits than its factorization.

2797117972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6832 (or 6830 counting only the distinct ones).

The product of its digits is 777924, while the sum is 52.

The square root of 2797117972 is about 52887.7866052267. The cubic root of 2797117972 is about 1408.9759967757.

The spelling of 2797117972 in words is "two billion, seven hundred ninety-seven million, one hundred seventeen thousand, nine hundred seventy-two".

Divisors: 1 2 4 11 22 31 44 62 124 317 341 634 682 1268 1364 3487 6469 6974 9827 12938 13948 19654 25876 39308 71159 108097 142318 200539 216194 284636 401078 432388 802156 2050673 2205929 4101346 4411858 8202692 8823716 22557403 45114806 63570863 90229612 127141726 254283452 699279493 1398558986 2797117972