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3815690196480 = 293523131269613
BaseRepresentation
bin110111100001101000110…
…110111101011000000000
3111111202222000021120200220
4313201220312331120000
51000004013142241410
612040523123143040
7542450234346141
oct67415066753000
914452860246626
103815690196480
1112412527062a8
1251760ab14a80
13218a833116b6
14d2974dc7ac8
15693c5233070
hex37868dbd600

3815690196480 has 640 divisors, whose sum is σ = 12894490414080. Its totient is φ = 960687636480.

The previous prime is 3815690196421. The next prime is 3815690196491. The reversal of 3815690196480 is 846910965183.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6224616654 + ... + 6224617266.

It is an arithmetic number, because the mean of its divisors is an integer number (20147641272).

Almost surely, 23815690196480 is an apocalyptic number.

3815690196480 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 3815690196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6447245207040).

3815690196480 is an abundant number, since it is smaller than the sum of its proper divisors (9078800217600).

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

3815690196480 is a wasteful number, since it uses less digits than its factorization.

3815690196480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 60.

The spelling of 3815690196480 in words is "three trillion, eight hundred fifteen billion, six hundred ninety million, one hundred ninety-six thousand, four hundred eighty".