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46308969000 = 23335372172971
BaseRepresentation
bin101011001000001110…
…101100101000101000
311102112100111100222000
4223020032230220220
51224320044002000
633135105531000
73226402512300
oct531016545050
9142470440860
1046308969000
1118704229908
128b84943a60
1344a0169608
142354446600
151310801000
hexac83aca28

46308969000 has 1536 divisors, whose sum is σ = 207432576000. Its totient is φ = 9483264000.

The previous prime is 46308968987. The next prime is 46308969019. The reversal of 46308969000 is 96980364.

46308969000 is a `hidden beast` number, since 4 + 630 + 8 + 9 + 6 + 9 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×463089690002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 652238965 + ... + 652239035.

It is an arithmetic number, because the mean of its divisors is an integer number (135047250).

Almost surely, 246308969000 is an apocalyptic number.

46308969000 is a gapful number since it is divisible by the number (40) 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 46308969000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103716288000).

46308969000 is an abundant number, since it is smaller than the sum of its proper divisors (161123607000).

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

46308969000 is a wasteful number, since it uses less digits than its factorization.

46308969000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 46308969000 in words is "forty-six billion, three hundred eight million, nine hundred sixty-nine thousand".