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550106964 = 223411154351
BaseRepresentation
bin100000110010011…
…111011101010100
31102100010022220000
4200302133131110
52111311410324
6130330411300
716426555251
oct4062373524
91370108800
10550106964
11262580560
12134290b30
1389c7a0a4
14530ba428
15334649c9
hex20c9f754

550106964 has 60 divisors (see below), whose sum is σ = 1568833728. Its totient is φ = 166698000.

The previous prime is 550106959. The next prime is 550106969. The reversal of 550106964 is 469601055.

550106964 is a `hidden beast` number, since 550 + 10 + 6 + 96 + 4 = 666.

550106964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (550106959) and next prime (550106969).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550106969) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73612 + ... + 80739.

Almost surely, 2550106964 is an apocalyptic number.

550106964 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

550106964 is an abundant number, since it is smaller than the sum of its proper divisors (1018726764).

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

550106964 is a wasteful number, since it uses less digits than its factorization.

550106964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154378 (or 154367 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 550106964 is about 23454.3591683934. The cubic root of 550106964 is about 819.3743810247.

The spelling of 550106964 in words is "five hundred fifty million, one hundred six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 154351 308702 463053 617404 926106 1389159 1697861 1852212 2778318 3395722 4167477 5093583 5556636 6791444 8334954 10187166 12502431 15280749 16669908 20374332 25004862 30561498 45842247 50009724 61122996 91684494 137526741 183368988 275053482 550106964