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7949785820 = 22517194328619
BaseRepresentation
bin1110110011101100…
…00001101011011100
3202112000220221222212
413121312001223130
5112240121121240
63352503255552
7401001031064
oct73166015334
922460827885
107949785820
11340a4a0829
12165a44a5b8
139990113a2
14555b563a4
15317dcc165
hex1d9d81adc

7949785820 has 96 divisors (see below), whose sum is σ = 19040313600. Its totient is φ = 2769306624.

The previous prime is 7949785819. The next prime is 7949785829. The reversal of 7949785820 is 285879497.

It is a self number, because there is not a number n which added to its sum of digits gives 7949785820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7949785829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263471 + ... + 292089.

It is an arithmetic number, because the mean of its divisors is an integer number (198336600).

Almost surely, 27949785820 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 7949785820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9520156800).

7949785820 is an abundant number, since it is smaller than the sum of its proper divisors (11090527780).

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

7949785820 is a wasteful number, since it uses less digits than its factorization.

7949785820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28707 (or 28705 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 59.

The square root of 7949785820 is about 89161.5714307459. The cubic root of 7949785820 is about 1995.8066992590.

The spelling of 7949785820 in words is "seven billion, nine hundred forty-nine million, seven hundred eighty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 43 68 76 85 86 95 170 172 190 215 323 340 380 430 646 731 817 860 1292 1462 1615 1634 2924 3230 3268 3655 4085 6460 7310 8170 13889 14620 16340 27778 28619 55556 57238 69445 114476 138890 143095 277780 286190 486523 543761 572380 973046 1087522 1230617 1946092 2175044 2432615 2461234 2718805 4865230 4922468 5437610 6153085 9243937 9730460 10875220 12306170 18487874 20920489 23381723 24612340 36975748 41840978 46219685 46763446 83681956 92439370 93526892 104602445 116908615 184878740 209204890 233817230 397489291 418409780 467634460 794978582 1589957164 1987446455 3974892910 7949785820