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6496401912 = 23371121323161
BaseRepresentation
bin1100000110011011…
…10011100111111000
3121202202010102002020
412003031303213320
5101301034330122
62552344234440
7316662335160
oct60315634770
917682112066
106496401912
11283405aa00
12131376ba20
137c6b91200
14458b095a0
152804dec5c
hex1833739f8

6496401912 has 576 divisors, whose sum is σ = 23178516480. Its totient is φ = 1482624000.

The previous prime is 6496401883. The next prime is 6496401953. The reversal of 6496401912 is 2191046946.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 106498362 + ... + 106498422.

It is an arithmetic number, because the mean of its divisors is an integer number (40240480).

Almost surely, 26496401912 is an apocalyptic number.

6496401912 is a gapful number since it is divisible by the number (62) 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 6496401912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11589258240).

6496401912 is an abundant number, since it is smaller than the sum of its proper divisors (16682114568).

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

6496401912 is a wasteful number, since it uses less digits than its factorization.

6496401912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 6496401912 is about 80600.2599995806. The cubic root of 6496401912 is about 1865.9111583467.

The spelling of 6496401912 in words is "six billion, four hundred ninety-six million, four hundred one thousand, nine hundred twelve".