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61801610816 = 261187786379
BaseRepresentation
bin111001100011101010…
…011011111001000000
312220112001122010011202
4321203222123321000
52003032203021231
644220303000332
74315334011241
oct714352337100
9186461563152
1061801610816
1124234441a20
12bb892990a8
135a9ba924aa
142dc3c68cc8
15191a9c85cb
hexe63a9be40

61801610816 has 28 divisors (see below), whose sum is σ = 133786443120. Its totient is φ = 28091640960.

The previous prime is 61801610797. The next prime is 61801610867.

61801610816 is nontrivially palindromic in base 10.

61801610816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 61801610816.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43892486 + ... + 43893893.

Almost surely, 261801610816 is an apocalyptic number.

It is an amenable number.

61801610816 is an abundant number, since it is smaller than the sum of its proper divisors (71984832304).

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

61801610816 is a wasteful number, since it uses less digits than its factorization.

61801610816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87786402 (or 87786392 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 38.

The spelling of 61801610816 in words is "sixty-one billion, eight hundred one million, six hundred ten thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 87786379 175572758 351145516 702291032 965650169 1404582064 1931300338 2809164128 3862600676 5618328256 7725201352 15450402704 30900805408 61801610816