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3960699603840 = 27335725979283
BaseRepresentation
bin111001101000101100000…
…101111100101110000000
3112000122020222001201111000
4321220230011330232000
51004343003044310330
612231304214052000
7556102554103500
oct71505405745600
915018228051430
103960699603840
1112977a5742321
1253b73a34a000
13229652977155
14d99ada45a00
156d060b18560
hex39a2c17cb80

3960699603840 has 768 divisors, whose sum is σ = 16594458336000. Its totient is φ = 889947426816.

The previous prime is 3960699603767. The next prime is 3960699603841. The reversal of 3960699603840 is 483069960693.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3960699603841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49916839 + ... + 49996121.

It is an arithmetic number, because the mean of its divisors is an integer number (21607367625).

Almost surely, 23960699603840 is an apocalyptic number.

3960699603840 is a gapful number since it is divisible by the number (30) 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 3960699603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8297229168000).

3960699603840 is an abundant number, since it is smaller than the sum of its proper divisors (12633758732160).

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

3960699603840 is a wasteful number, since it uses less digits than its factorization.

3960699603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79384 (or 79359 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 3960699603840 in words is "three trillion, nine hundred sixty billion, six hundred ninety-nine million, six hundred three thousand, eight hundred forty".