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7970248152 = 2333284312979
BaseRepresentation
bin1110110110001000…
…00101010111011000
3202120110102120001000
413123010011113120
5112310340420102
63354514025000
7401336664036
oct73304052730
922513376030
107970248152
11341aaa7449
121665278160
139a0327089
14558761556
15319ac001c
hex1db1055d8

7970248152 has 64 divisors (see below), whose sum is σ = 22149072000. Its totient is φ = 2655610272.

The previous prime is 7970248141. The next prime is 7970248157. The reversal of 7970248152 is 2518420797.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 7970248098 and 7970248107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7970248157) 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, 607599 + ... + 620577.

It is an arithmetic number, because the mean of its divisors is an integer number (346079250).

Almost surely, 27970248152 is an apocalyptic number.

7970248152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7970248152 is an abundant number, since it is smaller than the sum of its proper divisors (14178823848).

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

7970248152 is a wasteful number, since it uses less digits than its factorization.

7970248152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15837 (or 15827 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 7970248152 is about 89276.2462920569. The cubic root of 7970248152 is about 1997.5175994519.

The spelling of 7970248152 in words is "seven billion, nine hundred seventy million, two hundred forty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 2843 5686 8529 11372 12979 17058 22744 25587 25958 34116 38937 51174 51916 68232 76761 77874 102348 103832 116811 153522 155748 204696 233622 307044 311496 350433 467244 614088 700866 934488 1401732 2803464 36899297 73798594 110697891 147597188 221395782 295194376 332093673 442791564 664187346 885583128 996281019 1328374692 1992562038 2656749384 3985124076 7970248152