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7083980784 = 24321710692707
BaseRepresentation
bin1101001100011110…
…01111011111110000
3200021200202111202200
412212033033133300
5104001444341114
63130534143200
7340355562126
oct64617173760
920250674680
107083980784
1130057a4681
1214584b1b00
1388b82b20a
144b2b7b916
152b6da7409
hex1a63cf7f0

7083980784 has 120 divisors (see below), whose sum is σ = 21018900240. Its totient is φ = 2219526144.

The previous prime is 7083980773. The next prime is 7083980791. The reversal of 7083980784 is 4870893807.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7083980784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2615559 + ... + 2618265.

It is an arithmetic number, because the mean of its divisors is an integer number (175157502).

Almost surely, 27083980784 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 7083980784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10509450120).

7083980784 is an abundant number, since it is smaller than the sum of its proper divisors (13934919456).

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

7083980784 is a wasteful number, since it uses less digits than its factorization.

7083980784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3807 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 7083980784 is about 84166.3874952466. The cubic root of 7083980784 is about 1920.5507664725.

The spelling of 7083980784 in words is "seven billion, eighty-three million, nine hundred eighty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1069 1224 2138 2448 2707 3207 4276 5414 6414 8121 8552 9621 10828 12828 16242 17104 18173 19242 21656 24363 25656 32484 36346 38484 43312 46019 48726 51312 54519 64968 72692 76968 92038 97452 109038 129936 138057 145384 153936 163557 184076 194904 218076 276114 290768 327114 368152 389808 414171 436152 552228 654228 736304 828342 872304 1104456 1308456 1656684 2208912 2616912 2893783 3313368 5787566 6626736 8681349 11575132 17362698 23150264 26044047 34725396 46300528 49194311 52088094 69450792 98388622 104176188 138901584 147582933 196777244 208352376 295165866 393554488 416704752 442748799 590331732 787108976 885497598 1180663464 1770995196 2361326928 3541990392 7083980784