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16378927488 = 2733711611009
BaseRepresentation
bin11110100000100001…
…01001100110000000
31120021110211201121000
433100100221212000
5232021001134423
611305133132000
71116612405120
oct172020514600
946243751530
1016378927488
116a45528710
12321132a000
13171042a191
14b1540cc80
1565cde5843
hex3d0429980

16378927488 has 512 divisors, whose sum is σ = 61317504000. Its totient is φ = 4180377600.

The previous prime is 16378927471. The next prime is 16378927489. The reversal of 16378927488 is 88472987361.

16378927488 is a `hidden beast` number, since 1 + 63 + 7 + 8 + 92 + 7 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16378927489) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16232328 + ... + 16233336.

It is an arithmetic number, because the mean of its divisors is an integer number (119760750).

Almost surely, 216378927488 is an apocalyptic number.

16378927488 is a gapful number since it is divisible by the number (18) 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 16378927488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30658752000).

16378927488 is an abundant number, since it is smaller than the sum of its proper divisors (44938576512).

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

16378927488 is a wasteful number, since it uses less digits than its factorization.

16378927488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1093 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 16378927488 in words is "sixteen billion, three hundred seventy-eight million, nine hundred twenty-seven thousand, four hundred eighty-eight".