Search a number
-
+
19765481148 = 2232778434449
BaseRepresentation
bin10010011010000111…
…010100111010111100
31220000111020110212100
4102122013110322330
5310434430344043
613025150505100
71266543550320
oct223207247274
956014213770
1019765481148
11842310a596
1239b7505190
131b2cc2589a
14d570b9980
157aa393cd3
hex49a1d4ebc

19765481148 has 36 divisors (see below), whose sum is σ = 57100279600. Its totient is φ = 5647280256.

The previous prime is 19765481147. The next prime is 19765481149. The reversal of 19765481148 is 84118456791.

19765481148 is a `hidden beast` number, since 1 + 97 + 6 + 548 + 1 + 1 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (19765481147) and next prime (19765481149).

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 19765481094 and 19765481103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19765481143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39216973 + ... + 39217476.

Almost surely, 219765481148 is an apocalyptic number.

19765481148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19765481148 is an abundant number, since it is smaller than the sum of its proper divisors (37334798452).

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

19765481148 is a wasteful number, since it uses less digits than its factorization.

19765481148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78434466 (or 78434461 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 19765481148 in words is "nineteen billion, seven hundred sixty-five million, four hundred eighty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 78434449 156868898 235303347 313737796 470606694 549041143 705910041 941213388 1098082286 1411820082 1647123429 2196164572 2823640164 3294246858 4941370287 6588493716 9882740574 19765481148