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4961680080 = 243575235647
BaseRepresentation
bin1001001111011110…
…10011101011010000
3110210210021110111220
410213233103223100
540130142230310
62140202005040
7233645404410
oct44757235320
913723243456
104961680080
112116814755
12b657a6780
13610c32996
14350d68640
151e08d7670
hex127bd3ad0

4961680080 has 160 divisors (see below), whose sum is σ = 17615253504. Its totient is φ = 1131729408.

The previous prime is 4961680051. The next prime is 4961680099. The reversal of 4961680080 is 800861694.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 875817 + ... + 881463.

Almost surely, 24961680080 is an apocalyptic number.

4961680080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4961680080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8807626752).

4961680080 is an abundant number, since it is smaller than the sum of its proper divisors (12653573424).

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

4961680080 is a wasteful number, since it uses less digits than its factorization.

4961680080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6193 (or 6187 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 4961680080 is about 70439.1942032275. The cubic root of 4961680080 is about 1705.5963296781.

The spelling of 4961680080 in words is "four billion, nine hundred sixty-one million, six hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 523 560 840 1046 1569 1680 2092 2615 3138 3661 4184 5230 5647 6276 7322 7845 8368 10460 10983 11294 12552 14644 15690 16941 18305 20920 21966 22588 25104 28235 29288 31380 33882 36610 39529 41840 43932 45176 54915 56470 58576 62760 67764 73220 79058 84705 87864 90352 109830 112940 118587 125520 135528 146440 158116 169410 175728 197645 219660 225880 237174 271056 292880 316232 338820 395290 439320 451760 474348 592935 632464 677640 790580 878640 948696 1185870 1355280 1581160 1897392 2371740 2953381 3162320 4743480 5906762 8860143 9486960 11813524 14766905 17720286 20673667 23627048 29533810 35440572 41347334 44300715 47254096 59067620 62021001 70881144 82694668 88601430 103368335 118135240 124042002 141762288 165389336 177202860 206736670 236270480 248084004 310105005 330778672 354405720 413473340 496168008 620210010 708811440 826946680 992336016 1240420020 1653893360 2480840040 4961680080