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11490361344 = 21632711223
BaseRepresentation
bin10101011001110000…
…10000000000000000
31002122210010211112200
422230320100000000
5142013013030334
65140102153200
7554512313520
oct125470200000
932583124480
1011490361344
114967011600
122288122800
1311116b64a7
147b0077680
15473b51799
hex2ace10000

11490361344 has 612 divisors, whose sum is σ = 43511377728. Its totient is φ = 2854748160.

The previous prime is 11490361339. The next prime is 11490361349. The reversal of 11490361344 is 44316309411.

11490361344 is a `hidden beast` number, since 1 + 1 + 490 + 36 + 134 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11490361339) and next prime (11490361349).

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

It is a junction number, because it is equal to n+sod(n) for n = 11490361299 and 11490361308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11490361349) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 499580917 + ... + 499580939.

Almost surely, 211490361344 is an apocalyptic number.

11490361344 is a gapful number since it is divisible by the number (14) 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 11490361344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21755688864).

11490361344 is an abundant number, since it is smaller than the sum of its proper divisors (32021016384).

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

11490361344 is an equidigital number, since it uses as much as digits as its factorization.

11490361344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 11490361344 in words is "eleven billion, four hundred ninety million, three hundred sixty-one thousand, three hundred forty-four".