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102880040016 = 243131139531531
BaseRepresentation
bin101111111010000100…
…0001101010001010000
3100211112212221112102110
41133310020031101100
53141144242240031
6115132404145320
710301314624425
oct1376410152120
9324485845373
10102880040016
113a6a4111866
1217b32398240
1399173b2330
144d9d75bd4c
152a21ed4c46
hex17f420d450

102880040016 has 160 divisors (see below), whose sum is σ = 289242237312. Its totient is φ = 31321866240.

The previous prime is 102880039981. The next prime is 102880040077. The reversal of 102880040016 is 610040088201.

It is a super-2 number, since 2×1028800400162 (a number of 23 digits) contains 22 as substring.

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, 67197171 + ... + 67198701.

Almost surely, 2102880040016 is an apocalyptic number.

102880040016 is a gapful number since it is divisible by the number (16) 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 102880040016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144621118656).

102880040016 is an abundant number, since it is smaller than the sum of its proper divisors (186362197296).

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

102880040016 is a wasteful number, since it uses less digits than its factorization.

102880040016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 102880040016 in words is "one hundred two billion, eight hundred eighty million, forty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 113 156 208 226 312 339 452 624 678 904 953 1356 1469 1531 1808 1906 2712 2859 2938 3062 3812 4407 4593 5424 5718 5876 6124 7624 8814 9186 11436 11752 12248 12389 15248 17628 18372 19903 22872 23504 24496 24778 35256 36744 37167 39806 45744 49556 59709 70512 73488 74334 79612 99112 107689 119418 148668 159224 173003 198224 215378 238836 297336 318448 323067 346006 430756 477672 519009 594672 646134 692012 861512 955344 1038018 1292268 1384024 1399957 1459043 1723024 2076036 2249039 2584536 2768048 2799914 2918086 4152072 4199871 4377129 4498078 5169072 5599828 5836172 6747117 8304144 8399742 8754258 8996156 11199656 11672344 13494234 16799484 17508516 17992312 18967559 22399312 23344688 26988468 33598968 35017032 35984624 37935118 53976936 56902677 67197936 70034064 75870236 107953872 113805354 151740472 164871859 227610708 303480944 329743718 455221416 494615577 659487436 910442832 989231154 1318974872 1978462308 2143334167 2637949744 3956924616 4286668334 6430002501 7913849232 8573336668 12860005002 17146673336 25720010004 34293346672 51440020008 102880040016