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996902246400 = 21135248713327
BaseRepresentation
bin11101000000111000000…
…00010001100000000000
310112022011211110020102020
432200130000101200000
5112313123433341100
62041545350521440
7132011111165304
oct16403400214000
93468154406366
10996902246400
11354869368855
12141258666280
1373013579148
1436370c75d04
151ade98135a0
hexe81c011800

996902246400 has 288 divisors, whose sum is σ = 3302633617920. Its totient is φ = 265274818560.

The previous prime is 996902246381. The next prime is 996902246401. The reversal of 996902246400 is 4642209699.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996902246401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74796537 + ... + 74809863.

It is an arithmetic number, because the mean of its divisors is an integer number (11467477840).

Almost surely, 2996902246400 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 996902246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651316808960).

996902246400 is an abundant number, since it is smaller than the sum of its proper divisors (2305731371520).

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

996902246400 is a wasteful number, since it uses less digits than its factorization.

996902246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13849 (or 13824 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 996902246400 in words is "nine hundred ninety-six billion, nine hundred two million, two hundred forty-six thousand, four hundred".