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7690149376 = 297213171973
BaseRepresentation
bin1110010100101111…
…00101111000000000
3201211221101001202021
413022113211320000
5111222134240001
63311030331224
7361366122400
oct71227457000
921757331667
107690149376
113296986058
1215a74b9b14
139572a6760
1452d48c800
153001e2ba1
hex1ca5e5e00

7690149376 has 480 divisors, whose sum is σ = 21747670560. Its totient is φ = 2675441664.

The previous prime is 7690149367. The next prime is 7690149407. The reversal of 7690149376 is 6739410967.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105344476 + ... + 105344548.

It is an arithmetic number, because the mean of its divisors is an integer number (45307647).

Almost surely, 27690149376 is an apocalyptic number.

7690149376 is a gapful number since it is divisible by the number (76) 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 7690149376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10873835280).

7690149376 is an abundant number, since it is smaller than the sum of its proper divisors (14057521184).

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

7690149376 is a wasteful number, since it uses less digits than its factorization.

7690149376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 52.

The square root of 7690149376 is about 87693.4967714254. The cubic root of 7690149376 is about 1973.8383919473.

The spelling of 7690149376 in words is "seven billion, six hundred ninety million, one hundred forty-nine thousand, three hundred seventy-six".