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84555073760 = 2551928039923
BaseRepresentation
bin100111010111111100…
…0000000100011100000
322002020210021210111112
41032233320000203200
52341132044330020
6102502152402452
76052232161013
oct1165770004340
9262223253445
1084555073760
1132950153453
12144793a6428
137c86a52231
144141add37a
1522ed33a2c5
hex13afe008e0

84555073760 has 96 divisors (see below), whose sum is σ = 210371333760. Its totient is φ = 32027263488.

The previous prime is 84555073753. The next prime is 84555073819. The reversal of 84555073760 is 6737055548.

It is a junction number, because it is equal to n+sod(n) for n = 84555073699 and 84555073708.

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, 8516159 + ... + 8526081.

It is an arithmetic number, because the mean of its divisors is an integer number (2191368060).

Almost surely, 284555073760 is an apocalyptic number.

84555073760 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 84555073760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105185666880).

84555073760 is an abundant number, since it is smaller than the sum of its proper divisors (125816260000).

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

84555073760 is a wasteful number, since it uses less digits than its factorization.

84555073760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12760 (or 12752 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 50.

The spelling of 84555073760 in words is "eighty-four billion, five hundred fifty-five million, seventy-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 2803 3040 5606 9923 11212 14015 19846 22424 28030 39692 44848 49615 53257 56060 79384 89696 99230 106514 112120 158768 188537 198460 213028 224240 266285 317536 377074 396920 426056 448480 532570 754148 793840 852112 942685 1065140 1508296 1587680 1704224 1885370 2130280 3016592 3770740 4260560 6033184 7541480 8521120 15082960 27814169 30165920 55628338 111256676 139070845 222513352 278141690 445026704 528469211 556283380 890053408 1056938422 1112566760 2113876844 2225133520 2642346055 4227753688 4450267040 5284692110 8455507376 10569384220 16911014752 21138768440 42277536880 84555073760