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84008848484880 = 243251110607177839
BaseRepresentation
bin10011000110011111010101…
…100100100110101000010000
3102000110011112002112022220100
4103012133111210212220100
542002400110203004010
6454401044320212400
723460303403034454
oct2306372544465020
9360404462468810
1084008848484880
1124849a52955430
12950958946a100
1337b5000bcb507
1416a609b148664
159aa3e26422c0
hex4c67d5926a10

84008848484880 has 120 divisors (see below), whose sum is σ = 307777872205440. Its totient is φ = 20365781448960.

The previous prime is 84008848484797. The next prime is 84008848484923. The reversal of 84008848484880 is 8848484880048.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×840088484848802 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 84008848484799 and 84008848484808.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5303581000 + ... + 5303596839.

It is an arithmetic number, because the mean of its divisors is an integer number (2564815601712).

Almost surely, 284008848484880 is an apocalyptic number.

84008848484880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84008848484880 is an abundant number, since it is smaller than the sum of its proper divisors (223769023720560).

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

84008848484880 is a wasteful number, since it uses less digits than its factorization.

84008848484880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10607177869 (or 10607177860 counting only the distinct ones).

The product of its (nonzero) digits is 536870912, while the sum is 72.

The spelling of 84008848484880 in words is "eighty-four trillion, eight billion, eight hundred forty-eight million, four hundred eighty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 10607177839 21214355678 31821533517 42428711356 53035889195 63643067034 84857422712 95464600551 106071778390 116678956229 127286134068 159107667585 169714845424 190929201102 212143556780 233357912458 254572268136 318215335170 350036868687 381858402204 424287113560 466715824916 477323002755 509144536272 583394781145 636430670340 700073737374 763716804408 848574227120 933431649832 954646005510 1050110606061 1166789562290 1272861340680 1400147474748 1527433608816 1750184343435 1866863299664 1909292011020 2100221212122 2333579124580 2545722681360 2800294949496 3500368686870 3818584022040 4200442424244 4667158249160 5250553030305 5600589898992 7000737373740 7637168044080 8400884848488 9334316498320 10501106060610 14001474747480 16801769696976 21002212121220 28002949494960 42004424242440 84008848484880