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5861682480 = 2435232813779
BaseRepresentation
bin1010111010110001…
…00010110100110000
3120010111210022201010
411131120202310300
544001042314410
62405352110520
7265154323203
oct53530426460
916114708633
105861682480
112538848895
121177095440
1372552a494
143d86c593a
15244914c20
hex15d622d30

5861682480 has 160 divisors (see below), whose sum is σ = 19033781760. Its totient is φ = 1489438720.

The previous prime is 5861682473. The next prime is 5861682493. The reversal of 5861682480 is 842861685.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1549231 + ... + 1553009.

It is an arithmetic number, because the mean of its divisors is an integer number (118961136).

Almost surely, 25861682480 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 5861682480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9516890880).

5861682480 is an abundant number, since it is smaller than the sum of its proper divisors (13172099280).

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

5861682480 is a wasteful number, since it uses less digits than its factorization.

5861682480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4099 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 5861682480 is about 76561.6253745961. The cubic root of 5861682480 is about 1803.0485869036.

The spelling of 5861682480 in words is "five billion, eight hundred sixty-one million, six hundred eighty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 281 345 368 460 552 562 690 843 920 1104 1124 1380 1405 1686 1840 2248 2760 2810 3372 3779 4215 4496 5520 5620 6463 6744 7558 8430 11240 11337 12926 13488 15116 16860 18895 19389 22480 22674 25852 30232 32315 33720 37790 38778 45348 51704 56685 60464 64630 67440 75580 77556 86917 90696 96945 103408 113370 129260 151160 155112 173834 181392 193890 226740 258520 260751 302320 310224 347668 387780 434585 453480 517040 521502 695336 775560 869170 906960 1043004 1061899 1303755 1390672 1551120 1738340 2086008 2123798 2607510 3185697 3476680 4172016 4247596 5215020 5309495 6371394 6953360 8495192 10430040 10618990 12742788 15928485 16990384 20860080 21237980 24423677 25485576 31856970 42475960 48847354 50971152 63713940 73271031 84951920 97694708 122118385 127427880 146542062 195389416 244236770 254855760 293084124 366355155 390778832 488473540 586168248 732710310 976947080 1172336496 1465420620 1953894160 2930841240 5861682480