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159907916240 = 2458936236199
BaseRepresentation
bin1001010011101101000…
…0010010100111010000
3120021202020221210211022
42110323100102213100
510104442411304430
6201243301335012
714360444601302
oct2247320224720
9507666853738
10159907916240
11618a8939286
1226ba8a07468
13121051683a7
147a4d5c3972
15425d84d4e5
hex253b4129d0

159907916240 has 80 divisors (see below), whose sum is σ = 376127712000. Its totient is φ = 63216823296.

The previous prime is 159907916209. The next prime is 159907916303. The reversal of 159907916240 is 42619709951.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25792661 + ... + 25798859.

It is an arithmetic number, because the mean of its divisors is an integer number (4701596400).

Almost surely, 2159907916240 is an apocalyptic number.

159907916240 is a gapful number since it is divisible by the number (10) 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 159907916240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188063856000).

159907916240 is an abundant number, since it is smaller than the sum of its proper divisors (216219795760).

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

159907916240 is a wasteful number, since it uses less digits than its factorization.

159907916240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9924 (or 9918 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 53.

The spelling of 159907916240 in words is "one hundred fifty-nine billion, nine hundred seven million, nine hundred sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 3623 6199 7120 7246 12398 14492 18115 24796 28984 30995 36230 49592 57968 61990 72460 99184 123980 144920 247960 289840 322447 495920 551711 644894 1103422 1289788 1612235 2206844 2579576 2758555 3224470 4413688 5159152 5517110 6448940 8827376 11034220 12897880 22068440 22458977 25795760 44136880 44917954 89835908 112294885 179671816 224589770 359343632 449179540 898359080 1796718160 1998848953 3997697906 7995395812 9994244765 15990791624 19988489530 31981583248 39976979060 79953958120 159907916240