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10505606148 = 2233397245023
BaseRepresentation
bin10011100100010111…
…01101010000000100
31000010011011002101000
421302023231100010
5133003413344043
64454243333300
7521224115232
oct116213552004
930104132330
1010505606148
114501160434
122052381230
13cb56861cb
14719377952
154174822d3
hex2722ed404

10505606148 has 48 divisors (see below), whose sum is σ = 27305474560. Its totient is φ = 3493033632.

The previous prime is 10505606143. The next prime is 10505606159. The reversal of 10505606148 is 84160650501.

10505606148 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 5 + 606 + 1 + 48 = 666.

It is a super-2 number, since 2×105056061482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10505606143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79636 + ... + 165387.

Almost surely, 210505606148 is an apocalyptic number.

10505606148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10505606148 is an abundant number, since it is smaller than the sum of its proper divisors (16799868412).

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

10505606148 is a wasteful number, since it uses less digits than its factorization.

10505606148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245433 (or 245425 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10505606148 in words is "ten billion, five hundred five million, six hundred six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 397 794 1191 1588 2382 3573 4764 7146 10719 14292 21438 42876 245023 490046 735069 980092 1470138 2205207 2940276 4410414 6615621 8820828 13231242 26462484 97274131 194548262 291822393 389096524 583644786 875467179 1167289572 1750934358 2626401537 3501868716 5252803074 10505606148