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16292881920 = 29357378191
BaseRepresentation
bin11110010110010000…
…11010011000000000
31120001110221011021010
433023020122120000
5231331434210140
611252421000520
71114516132320
oct171310323000
946043834233
1016292881920
116a009a8377
1231a8553140
1316c8661143
14b07c11280
1565559a880
hex3cb21a600

16292881920 has 320 divisors, whose sum is σ = 61143515136. Its totient is φ = 3622993920.

The previous prime is 16292881909. The next prime is 16292881937. The reversal of 16292881920 is 2918829261.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 16292881920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1985025 + ... + 1993215.

Almost surely, 216292881920 is an apocalyptic number.

16292881920 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 16292881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30571757568).

16292881920 is an abundant number, since it is smaller than the sum of its proper divisors (44850633216).

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

16292881920 is an equidigital number, since it uses as much as digits as its factorization.

16292881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8261 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 16292881920 in words is "sixteen billion, two hundred ninety-two million, eight hundred eighty-one thousand, nine hundred twenty".