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46867054144 = 26270612
BaseRepresentation
bin101011101001011111…
…100111111001000000
311110222020122000212011
4223221133213321000
51231440431213034
633310323342304
73246260246551
oct535137477100
9143866560764
1046867054144
11189702594a9
1290bb821994
13455b97ac01
1423a85dc328
1513447de864
hexae97e7e40

46867054144 has 21 divisors (see below), whose sum is σ = 93005247441. Its totient is φ = 23432661120.

The previous prime is 46867054127. The next prime is 46867054147. The reversal of 46867054144 is 44145076864.

The square root of 46867054144 is 216488.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5641812544 + 41225241600 = 75112^2 + 203040^2 .

It is a super-3 number, since 3×468670541443 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46867054147) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1718374 + ... + 1745434.

Almost surely, 246867054144 is an apocalyptic number.

46867054144 is the 216488-th square number.

It is an amenable number.

46867054144 is a deficient number, since it is larger than the sum of its proper divisors (46138193297).

46867054144 is an frugal number, since it uses more digits than its factorization.

46867054144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54134 (or 27063 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 49.

Multiplying 46867054144 by its sum of digits (49), we get a square (2296485653056 = 15154162).

The spelling of 46867054144 in words is "forty-six billion, eight hundred sixty-seven million, fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 27061 54122 108244 216488 432976 865952 1731904 732297721 1464595442 2929190884 5858381768 11716763536 23433527072 46867054144