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11682983760 = 243572993451
BaseRepresentation
bin10101110000101110…
…00010111101010000
31010011012121001211020
422320113002331100
5142411320440020
65211142515440
7562341503100
oct127027027520
933135531736
1011682983760
114a55815688
122320735b80
131142589756
147cb899200
154859eec40
hex2b85c2f50

11682983760 has 120 divisors (see below), whose sum is σ = 42130312416. Its totient is φ = 2670393600.

The previous prime is 11682983759. The next prime is 11682983773. The reversal of 11682983760 is 6738928611.

It is a tau number, because it is divible by the number of its divisors (120).

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, 484966 + ... + 508485.

Almost surely, 211682983760 is an apocalyptic number.

11682983760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11682983760 is an abundant number, since it is smaller than the sum of its proper divisors (30447328656).

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

11682983760 is a wasteful number, since it uses less digits than its factorization.

11682983760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993481 (or 993468 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 11682983760 in words is "eleven billion, six hundred eighty-two million, nine hundred eighty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 993451 1986902 2980353 3973804 4967255 5960706 6954157 7947608 9934510 11921412 13908314 14901765 15895216 19869020 20862471 23842824 27816628 29803530 34770785 39738040 41724942 47685648 48679099 55633256 59607060 69541570 79476080 83449884 97358198 104312355 111266512 119214120 139083140 146037297 166899768 194716396 208624710 238428240 243395495 278166280 292074594 333799536 389432792 417249420 486790990 556332560 584149188 730186485 778865584 834498840 973581980 1168298376 1460372970 1668997680 1947163960 2336596752 2920745940 3894327920 5841491880 11682983760