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193611220992 = 21132724632
BaseRepresentation
bin1011010001010000100…
…0001100100000000000
3200111202002200002021200
42310110020030200000
511133003433032432
6224535504221200
716662603140100
oct2642410144000
9614662602250
10193611220992
1175123539a52
123163400a800
1315346840377
1495297cd200
155082642a7c
hex2d1420c800

193611220992 has 324 divisors, whose sum is σ = 651888181035. Its totient is φ = 55198015488.

The previous prime is 193611220961. The next prime is 193611221003. The reversal of 193611220992 is 299022116391.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

193611220992 is a `hidden beast` number, since 1 + 9 + 3 + 611 + 2 + 20 + 9 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96805610496 + 96805610496 = 311136^2 + 311136^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=311136.

It is a super-2 number, since 2×1936112209922 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 418166553 + ... + 418167015.

Almost surely, 2193611220992 is an apocalyptic number.

193611220992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193611220992

193611220992 is an abundant number, since it is smaller than the sum of its proper divisors (458276960043).

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

193611220992 is an frugal number, since it uses more digits than its factorization.

193611220992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 193611220992 in words is "one hundred ninety-three billion, six hundred eleven million, two hundred twenty thousand, nine hundred ninety-two".