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3998159360 = 29513196323
BaseRepresentation
bin1110111001001111…
…0001001000000000
3101022122020112120022
43232103301020000
531142012044420
61500422233012
7201035536166
oct35623611000
911278215508
103998159360
111771947338
12936b85768
134b9428990
1429cdd5236
1518600ec25
hexee4f1200

3998159360 has 160 divisors (see below), whose sum is σ = 10868679360. Its totient is φ = 1398325248.

The previous prime is 3998159359. The next prime is 3998159369. The reversal of 3998159360 is 639518993.

It is a Cunningham number, because it is equal to 632312-1.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (3998159369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629159 + ... + 635481.

It is an arithmetic number, because the mean of its divisors is an integer number (67929246).

Almost surely, 23998159360 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 3998159360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5434339680).

3998159360 is an abundant number, since it is smaller than the sum of its proper divisors (6870520000).

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

3998159360 is a wasteful number, since it uses less digits than its factorization.

3998159360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6378 (or 6362 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 53.

The square root of 3998159360 is about 63230.9999920925. Note that the first 5 decimals coincide. The cubic root of 3998159360 is about 1587.1575284551.

The spelling of 3998159360 in words is "three billion, nine hundred ninety-eight million, one hundred fifty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 64 65 76 80 95 104 128 130 152 160 190 208 247 256 260 304 320 380 416 494 512 520 608 640 760 832 988 1040 1216 1235 1280 1520 1664 1976 2080 2432 2470 2560 3040 3328 3952 4160 4864 4940 6080 6323 6656 7904 8320 9728 9880 12160 12646 15808 16640 19760 24320 25292 31615 31616 33280 39520 48640 50584 63230 63232 79040 82199 101168 120137 126460 126464 158080 164398 202336 240274 252920 316160 328796 404672 410995 480548 505840 600685 632320 657592 809344 821990 961096 1011680 1201370 1315184 1561781 1618688 1643980 1922192 2023360 2402740 2630368 3123562 3237376 3287960 3844384 4046720 4805480 5260736 6247124 6575920 7688768 7808905 8093440 9610960 10521472 12494248 13151840 15377536 15617810 16186880 19221920 21042944 24988496 26303680 30755072 31235620 38443840 42085888 49976992 52607360 61510144 62471240 76887680 99953984 105214720 124942480 153775360 199907968 210429440 249884960 307550720 399815936 499769920 799631872 999539840 1999079680 3998159360