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84519680880 = 24355333719717
BaseRepresentation
bin100111010110111000…
…0111111101101110000
322002011022200122121010
41032231300333231300
52341044014242010
6102454450030520
76051322301535
oct1165560775560
9262138618533
1084519680880
113293217a238
1214469578440
137c7c60c6bb
14413b128d8c
1522ea198620
hex13adc3fb70

84519680880 has 160 divisors (see below), whose sum is σ = 267760344384. Its totient is φ = 22046588928.

The previous prime is 84519680857. The next prime is 84519680881. The reversal of 84519680880 is 8808691548.

It is a self number, because there is not a number n which added to its sum of digits gives 84519680880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84519680881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4276782 + ... + 4296498.

Almost surely, 284519680880 is an apocalyptic number.

84519680880 is a gapful number since it is divisible by the number (80) 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 84519680880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133880172192).

84519680880 is an abundant number, since it is smaller than the sum of its proper divisors (183240663504).

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

84519680880 is a wasteful number, since it uses less digits than its factorization.

84519680880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20123 (or 20117 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 57.

The spelling of 84519680880 in words is "eighty-four billion, five hundred nineteen million, six hundred eighty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 337 424 530 636 674 795 848 1011 1060 1272 1348 1590 1685 2022 2120 2544 2696 3180 3370 4044 4240 5055 5392 6360 6740 8088 10110 12720 13480 16176 17861 19717 20220 26960 35722 39434 40440 53583 59151 71444 78868 80880 89305 98585 107166 118302 142888 157736 178610 197170 214332 236604 267915 285776 295755 315472 357220 394340 428664 473208 535830 591510 714440 788680 857328 946416 1045001 1071660 1183020 1428880 1577360 2090002 2143320 2366040 3135003 4180004 4286640 4732080 5225005 6270006 6644629 8360008 10450010 12540012 13289258 15675015 16720016 19933887 20900020 25080024 26578516 31350030 33223145 39867774 41800040 50160048 53157032 62700060 66446290 79735548 83600080 99669435 106314064 125400120 132892580 159471096 199338870 250800240 265785160 318942192 352165337 398677740 531570320 704330674 797355480 1056496011 1408661348 1594710960 1760826685 2112992022 2817322696 3521653370 4225984044 5282480055 5634645392 7043306740 8451968088 10564960110 14086613480 16903936176 21129920220 28173226960 42259840440 84519680880