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199740714408 = 23322774176589
BaseRepresentation
bin1011101000000101111…
…0010110110110101000
3201002120021101121112100
42322001132112312220
511233032110330113
6231432024413400
720300522026224
oct2720136266650
9632507347470
10199740714408
1177789476094
1232864917260
1315ab26a8151
14994b8a9784
1552e0808d73
hex2e81796da8

199740714408 has 24 divisors (see below), whose sum is σ = 540964435050. Its totient is φ = 66580238112.

The previous prime is 199740714289. The next prime is 199740714421. The reversal of 199740714408 is 804417047991.

199740714408 is a `hidden beast` number, since 1 + 9 + 97 + 40 + 71 + 440 + 8 = 666.

199740714408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 141224136804 + 58516577604 = 375798^2 + 241902^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1387088223 + ... + 1387088366.

Almost surely, 2199740714408 is an apocalyptic number.

199740714408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

199740714408 is an abundant number, since it is smaller than the sum of its proper divisors (341223720642).

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

199740714408 is a wasteful number, since it uses less digits than its factorization.

199740714408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774176601 (or 2774176594 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 199740714408 in words is "one hundred ninety-nine billion, seven hundred forty million, seven hundred fourteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2774176589 5548353178 8322529767 11096706356 16645059534 22193412712 24967589301 33290119068 49935178602 66580238136 99870357204 199740714408