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996532244640 = 253253124316747
BaseRepresentation
bin11101000000001011111…
…00110101000010100000
310112021020001020012102100
432200011330311002200
5112311344223312030
62041444532250400
7131665666214052
oct16400574650240
93467201205370
10996532244640
11354699521a79
12141174770a00
1372c84a0baaa
1436337a7d8d2
151adc70c8360
hexe805f350a0

996532244640 has 432 divisors, whose sum is σ = 3595837269024. Its totient is φ = 251173923840.

The previous prime is 996532244627. The next prime is 996532244681. The reversal of 996532244640 is 46442235699.

996532244640 is a `hidden beast` number, since 9 + 9 + 6 + 532 + 2 + 44 + 64 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59496747 + ... + 59513493.

It is an arithmetic number, because the mean of its divisors is an integer number (8323697382).

Almost surely, 2996532244640 is an apocalyptic number.

996532244640 is a gapful number since it is divisible by the number (90) 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 996532244640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797918634512).

996532244640 is an abundant number, since it is smaller than the sum of its proper divisors (2599305024384).

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

996532244640 is a wasteful number, since it uses less digits than its factorization.

996532244640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16873 (or 16831 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 996532244640 in words is "nine hundred ninety-six billion, five hundred thirty-two million, two hundred forty-four thousand, six hundred forty".