Search a number
-
+
1012019175552 = 273711432107173
BaseRepresentation
bin11101011101000010000…
…10110010000010000000
310120202012100121210202010
432232201002302002000
5113040103402104202
62052525403052520
7133054531026120
oct16564102620200
93522170553663
101012019175552
11360216494430
12144177211140
13745823b5438
1436da6816c80
151b4d1a2376c
hexeba10b2080

1012019175552 has 768 divisors, whose sum is σ = 3483333227520. Its totient is φ = 252879298560.

The previous prime is 1012019175547. The next prime is 1012019175571. The reversal of 1012019175552 is 2555719102101.

It is a self number, because there is not a number n which added to its sum of digits gives 1012019175552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5849821738 + ... + 5849821910.

It is an arithmetic number, because the mean of its divisors is an integer number (4535590140).

Almost surely, 21012019175552 is an apocalyptic number.

1012019175552 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 1012019175552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741666613760).

1012019175552 is an abundant number, since it is smaller than the sum of its proper divisors (2471314051968).

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

1012019175552 is a wasteful number, since it uses less digits than its factorization.

1012019175552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 39.

The spelling of 1012019175552 in words is "one trillion, twelve billion, nineteen million, one hundred seventy-five thousand, five hundred fifty-two".