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11674932480 = 2832523139317
BaseRepresentation
bin10101101111110000…
…10101010100000000
31010010122110000112200
422313320111110000
5142402240314410
65210254153200
7562213201011
oct126770252400
933118400480
1011674932480
114a51216632
122319ab2800
1311409cab93
147ca7a1008
15484e5e3c0
hex2b7e15500

11674932480 has 432 divisors, whose sum is σ = 42587475840. Its totient is φ = 2947203072.

The previous prime is 11674932473. The next prime is 11674932481. The reversal of 11674932480 is 8423947611.

11674932480 is a `hidden beast` number, since 1 + 1 + 67 + 493 + 24 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11674932481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36829282 + ... + 36829598.

It is an arithmetic number, because the mean of its divisors is an integer number (98582120).

Almost surely, 211674932480 is an apocalyptic number.

11674932480 is a gapful number since it is divisible by the number (10) 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 11674932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21293737920).

11674932480 is an abundant number, since it is smaller than the sum of its proper divisors (30912543360).

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

11674932480 is a wasteful number, since it uses less digits than its factorization.

11674932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11674932480 in words is "eleven billion, six hundred seventy-four million, nine hundred thirty-two thousand, four hundred eighty".