Search a number
-
+
1055012646534 = 237112283577157
BaseRepresentation
bin11110101101000111010…
…01110110111010000110
310201212011122102102110020
433112203221312322012
5114241131214142114
62124355514240010
7136136124350430
oct17264351667206
93655148372406
101055012646534
11377479153530
12150575726006
13786446a44b2
14390c47ab650
151c69b20eaa9
hexf5a3a76e86

1055012646534 has 32 divisors (see below), whose sum is σ = 2630680886016. Its totient is φ = 274029258720.

The previous prime is 1055012646533. The next prime is 1055012646563. The reversal of 1055012646534 is 4356462105501.

It is a super-2 number, since 2×10550126465342 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055012646533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1141788117 + ... + 1141789040.

It is an arithmetic number, because the mean of its divisors is an integer number (82208777688).

Almost surely, 21055012646534 is an apocalyptic number.

1055012646534 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1055012646534 is an abundant number, since it is smaller than the sum of its proper divisors (1575668239482).

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

1055012646534 is a wasteful number, since it uses less digits than its factorization.

1055012646534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283577180.

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 1055012646534 in words is "one trillion, fifty-five billion, twelve million, six hundred forty-six thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 2283577157 4567154314 6850731471 13701462942 15985040099 25119348727 31970080198 47955120297 50238697454 75358046181 95910240594 150716092362 175835441089 351670882178 527506323267 1055012646534