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896421924216 = 233127213331
BaseRepresentation
bin11010000101101101110…
…10010000110101111000
310011200211012000000000000
431002312322100311320
5104141333003033331
61523451024513000
7121523112430500
oct15026672206570
93150735000000
10896421924216
11316196896575
12125895a7b760
13666bc3b41c0
143155c102a00
15184b834b0e6
hexd0b6e90d78

896421924216 has 624 divisors, whose sum is σ = 3167949700440. Its totient is φ = 235704712320.

The previous prime is 896421924169. The next prime is 896421924227. The reversal of 896421924216 is 612429124698.

896421924216 is a `hidden beast` number, since 8 + 96 + 42 + 1 + 92 + 421 + 6 = 666.

896421924216 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 155 ways as a sum of consecutive naturals, for example, 2708223171 + ... + 2708223501.

Almost surely, 2896421924216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 896421924216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583974850220).

896421924216 is an abundant number, since it is smaller than the sum of its proper divisors (2271527776224).

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

896421924216 is an equidigital number, since it uses as much as digits as its factorization.

896421924216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 356 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 896421924216 in words is "eight hundred ninety-six billion, four hundred twenty-one million, nine hundred twenty-four thousand, two hundred sixteen".