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7973482920 = 2335136437949
BaseRepresentation
bin1110110110100000…
…11011000110101000
3202120200111220022020
413123100123012220
5112312202423140
63355111224440
7401406325614
oct73320330650
922520456266
107973482920
113421906807
121666378120
139a0bba540
14558d64344
1531a00d6d0
hex1db41b1a8

7973482920 has 128 divisors (see below), whose sum is σ = 25803792000. Its totient is φ = 1959404544.

The previous prime is 7973482901. The next prime is 7973482921. The reversal of 7973482920 is 292843797.

It is not an unprimeable number, because it can be changed into a prime (7973482921) 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, 999106 + ... + 1007054.

It is an arithmetic number, because the mean of its divisors is an integer number (201592125).

Almost surely, 27973482920 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 7973482920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12901896000).

7973482920 is an abundant number, since it is smaller than the sum of its proper divisors (17830309080).

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

7973482920 is a wasteful number, since it uses less digits than its factorization.

7973482920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8619 (or 8615 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The square root of 7973482920 is about 89294.3610761620. The cubic root of 7973482920 is about 1997.7877973152.

The spelling of 7973482920 in words is "seven billion, nine hundred seventy-three million, four hundred eighty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 643 780 1286 1560 1929 2572 3215 3858 5144 6430 7716 7949 8359 9645 12860 15432 15898 16718 19290 23847 25077 25720 31796 33436 38580 39745 41795 47694 50154 63592 66872 77160 79490 83590 95388 100308 103337 119235 125385 158980 167180 190776 200616 206674 238470 250770 310011 317960 334360 413348 476940 501540 516685 620022 826696 953880 1003080 1033370 1240044 1550055 2066740 2480088 3100110 4133480 5111207 6200220 10222414 12400440 15333621 20444828 25556035 30667242 40889656 51112070 61334484 66445691 76668105 102224140 122668968 132891382 153336210 199337073 204448280 265782764 306672420 332228455 398674146 531565528 613344840 664456910 797348292 996685365 1328913820 1594696584 1993370730 2657827640 3986741460 7973482920