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16607477053440 = 21133571331107199
BaseRepresentation
bin1111000110101011101011…
…0001010011100000000000
32011210122210122000112022000
43301222322301103200000
54134044103111202230
655153211501344000
73332564522536230
oct361527261234000
964718718015260
1016607477053440
115323211927979
121a42782568000
1393610322b1a0
14415b4021dcc0
151dbeea396b60
hexf1abac53800

16607477053440 has 3072 divisors, whose sum is σ = 76082872320000. Its totient is φ = 3342391050240.

The previous prime is 16607477053421. The next prime is 16607477053493. The reversal of 16607477053440 is 4435077470661.

It is a happy number.

16607477053440 is a `hidden beast` number, since 1 + 6 + 60 + 7 + 4 + 7 + 7 + 0 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×166074770534402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 255 ways as a sum of consecutive naturals, for example, 83454658461 + ... + 83454658659.

It is an arithmetic number, because the mean of its divisors is an integer number (24766560000).

Almost surely, 216607477053440 is an apocalyptic number.

16607477053440 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 16607477053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38041436160000).

16607477053440 is an abundant number, since it is smaller than the sum of its proper divisors (59475395266560).

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

16607477053440 is a wasteful number, since it uses less digits than its factorization.

16607477053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 16607477053440 in words is "sixteen trillion, six hundred seven billion, four hundred seventy-seven million, fifty-three thousand, four hundred forty".