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469876097880 = 23345732331593
BaseRepresentation
bin1101101011001101100…
…11000100001101011000
31122220211110202221010000
412311212303010031120
530144301240113010
6555505203253000
745642652635000
oct6654663041530
91586743687100
10469876097880
11171300897a22
127709467a160
13354031c3917
1418a56565000
15c3511d27c0
hex6d66cc4358

469876097880 has 1280 divisors, whose sum is σ = 1987172352000. Its totient is φ = 99249131520.

The previous prime is 469876097833. The next prime is 469876097927. The reversal of 469876097880 is 88790678964.

469876097880 is a `hidden beast` number, since 4 + 6 + 9 + 8 + 7 + 609 + 7 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (469876097833) and next prime (469876097927).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 469876097799 and 469876097808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 792370864 + ... + 792371456.

It is an arithmetic number, because the mean of its divisors is an integer number (1552478400).

Almost surely, 2469876097880 is an apocalyptic number.

469876097880 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 469876097880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993586176000).

469876097880 is an abundant number, since it is smaller than the sum of its proper divisors (1517296254120).

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

469876097880 is a wasteful number, since it uses less digits than its factorization.

469876097880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 469876097880 in words is "four hundred sixty-nine billion, eight hundred seventy-six million, ninety-seven thousand, eight hundred eighty".