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200696832064 = 2629219312
BaseRepresentation
bin1011101011101001110…
…1101010000001000000
3201012000220111102101101
42322322131222001000
511242011342111224
6232110541344144
720333311632241
oct2727235520100
9635026442341
10200696832064
117812a147473
1232a90b68054
1315c057bc641
1499dc872cc8
15534971d044
hex2eba76a040

200696832064 has 63 divisors (see below), whose sum is σ = 412678067581. Its totient is φ = 96837950720.

The previous prime is 200696832023. The next prime is 200696832103. The reversal of 200696832064 is 460238696002.

The square root of 200696832064 is 447992.

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., 105240550464 + 95456281600 = 324408^2 + 308960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 103933179 + ... + 103935109.

Almost surely, 2200696832064 is an apocalyptic number.

200696832064 is the 447992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200696832064

200696832064 is an abundant number, since it is smaller than the sum of its proper divisors (211981235517).

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

200696832064 is an frugal number, since it uses more digits than its factorization.

200696832064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The spelling of 200696832064 in words is "two hundred billion, six hundred ninety-six million, eight hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 841 928 1682 1856 1931 3364 3862 6728 7724 13456 15448 26912 30896 53824 55999 61792 111998 123584 223996 447992 895984 1623971 1791968 3247942 3583936 3728761 6495884 7457522 12991768 14915044 25983536 29830088 51967072 59660176 103934144 108134069 119320352 216268138 238640704 432536276 865072552 1730145104 3135888001 3460290208 6271776002 6920580416 12543552004 25087104008 50174208016 100348416032 200696832064