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7944146680 = 2355331112049
BaseRepresentation
bin1110110011000001…
…00000111011111000
3202111122022110112211
413121200200323320
5112232200143210
63352142344504
7400602063331
oct73140407370
922448273484
107944146680
113407299a88
12165858b134
13997ab8712
145550c9288
1531766638a
hex1d9820ef8

7944146680 has 64 divisors (see below), whose sum is σ = 18271656000. Its totient is φ = 3107420160.

The previous prime is 7944146669. The next prime is 7944146687. The reversal of 7944146680 is 866414497.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7944146687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653296 + ... + 665344.

It is an arithmetic number, because the mean of its divisors is an integer number (285494625).

Almost surely, 27944146680 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 7944146680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9135828000).

7944146680 is an abundant number, since it is smaller than the sum of its proper divisors (10327509320).

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

7944146680 is a wasteful number, since it uses less digits than its factorization.

7944146680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12424 (or 12420 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The square root of 7944146680 is about 89129.9426679946. The cubic root of 7944146680 is about 1995.3346825349.

The spelling of 7944146680 in words is "seven billion, nine hundred forty-four million, one hundred forty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 311 424 530 622 1060 1244 1555 2120 2488 3110 6220 12049 12440 16483 24098 32966 48196 60245 65932 82415 96392 120490 131864 164830 240980 329660 481960 638597 659320 1277194 2554388 3192985 3747239 5108776 6385970 7494478 12771940 14988956 18736195 25543880 29977912 37472390 74944780 149889560 198603667 397207334 794414668 993018335 1588829336 1986036670 3972073340 7944146680