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996794761052160 = 215325719311271291
BaseRepresentation
bin1110001010100101000101110…
…1101001011000000000000000
311211201100122111202121012112100
43202221101131221120000000
52021122441132312132120
613452001105213030400
7416650021261533120
oct34251213551300000
94751318452535470
10996794761052160
11269678314256704
1293969604785400
1333a2745ba06a85
14138211a3bdac80
157a38dbc72c490
hex38a945da58000

996794761052160 has 3072 divisors, whose sum is σ = 4328230197657600. Its totient is φ = 207079184793600.

The previous prime is 996794761052137. The next prime is 996794761052171. The reversal of 996794761052160 is 61250167497699.

It is a happy number.

996794761052160 is a `hidden beast` number, since 9 + 9 + 6 + 7 + 94 + 7 + 6 + 1 + 0 + 521 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×9967947610521602 (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 772110581115 + ... + 772110582405.

It is an arithmetic number, because the mean of its divisors is an integer number (1408929100800).

Almost surely, 2996794761052160 is an apocalyptic number.

996794761052160 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 996794761052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164115098828800).

996794761052160 is an abundant number, since it is smaller than the sum of its proper divisors (3331435436605440).

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

996794761052160 is a wasteful number, since it uses less digits than its factorization.

996794761052160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 996794761052160 in words is "nine hundred ninety-six trillion, seven hundred ninety-four billion, seven hundred sixty-one million, fifty-two thousand, one hundred sixty".