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3977003219904 = 2634111310153117
BaseRepresentation
bin111001110111110111110…
…111010011101111000000
3112002012100012012020020000
4321313313313103233000
51010124400311014104
612243002101120000
7560220563414031
oct71676767235700
915065305166200
103977003219904
1112a3701701390
1254292a3b9000
1322b0505c6050
14da6b904ca88
156d6b70d4639
hex39df7dd3bc0

3977003219904 has 560 divisors, whose sum is σ = 13987505147616. Its totient is φ = 1101413376000.

The previous prime is 3977003219869. The next prime is 3977003219911. The reversal of 3977003219904 is 4099123007793.

It is a super-2 number, since 2×39770032199042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 74845954 + ... + 74899070.

Almost surely, 23977003219904 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 3977003219904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6993752573808).

3977003219904 is an abundant number, since it is smaller than the sum of its proper divisors (10010501927712).

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

3977003219904 is a wasteful number, since it uses less digits than its factorization.

3977003219904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53266 (or 53247 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

It can be divided in two parts, 397700 and 3219904, that added together give a square (3617604 = 19022).

The spelling of 3977003219904 in words is "three trillion, nine hundred seventy-seven billion, three million, two hundred nineteen thousand, nine hundred four".