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59980214016 = 283323377291
BaseRepresentation
bin110111110111000110…
…010110111100000000
312201211010100120111000
4313313012112330000
51440314413322031
643315440052000
74222236256422
oct676706267400
9181733316430
1059980214016
112348a2a3608
12b75b304000
13586b6202c8
142c8ddc2812
151860b453e6
hexdf7196f00

59980214016 has 144 divisors (see below), whose sum is σ = 185084363520. Its totient is φ = 19124075520.

The previous prime is 59980213967. The next prime is 59980214027. The reversal of 59980214016 is 61041208995.

59980214016 is a `hidden beast` number, since 599 + 8 + 0 + 2 + 1 + 40 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29670 + ... + 347621.

It is an arithmetic number, because the mean of its divisors is an integer number (1285308080).

Almost surely, 259980214016 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 59980214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92542181760).

59980214016 is an abundant number, since it is smaller than the sum of its proper divisors (125104149504).

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

59980214016 is a wasteful number, since it uses less digits than its factorization.

59980214016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377339 (or 377319 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 59980214016 in words is "fifty-nine billion, nine hundred eighty million, two hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 552 576 621 736 768 828 864 1104 1152 1242 1472 1656 1728 2208 2304 2484 2944 3312 3456 4416 4968 5888 6624 6912 8832 9936 13248 17664 19872 26496 39744 52992 79488 158976 377291 754582 1131873 1509164 2263746 3018328 3395619 4527492 6036656 6791238 8677693 9054984 10186857 12073312 13582476 17355386 18109968 20373714 24146624 26033079 27164952 34710772 36219936 40747428 48293248 52066158 54329904 69421544 72439872 78099237 81494856 96586496 104132316 108659808 138843088 144879744 156198474 162989712 208264632 217319616 234297711 277686176 289759488 312396948 325979424 416529264 434639232 468595422 555372352 624793896 651958848 833058528 869278464 937190844 1110744704 1249587792 1303917696 1666117056 1874381688 2221489408 2499175584 2607835392 3332234112 3748763376 4998351168 6664468224 7497526752 9996702336 14995053504 19993404672 29990107008 59980214016