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84000525605696 = 267417691594617
BaseRepresentation
bin10011000110010111100101…
…011111010101101101000000
3102000102101001001120021000202
4103012113211133111231000
542002231034023340241
6454353150404104332
723456560221524540
oct2306274537255500
9360371031507022
1084000525605696
11248464718a7087
129507a460950a8
1337b42a580982b
1416a590ba33320
159aa0a6b18d9b
hex4c65e57d5b40

84000525605696 has 112 divisors (see below), whose sum is σ = 195173264264832. Its totient is φ = 35117545267200.

The previous prime is 84000525605671. The next prime is 84000525605719. The reversal of 84000525605696 is 69650652500048.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 140970980 + ... + 141565596.

It is an arithmetic number, because the mean of its divisors is an integer number (1742618430936).

Almost surely, 284000525605696 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 84000525605696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97586632132416).

84000525605696 is an abundant number, since it is smaller than the sum of its proper divisors (111172738659136).

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

84000525605696 is a wasteful number, since it uses less digits than its factorization.

84000525605696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602368 (or 602358 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 56.

The spelling of 84000525605696 in words is "eighty-four trillion, five hundred twenty-five million, six hundred five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 328 448 574 656 1148 1312 2296 2624 4592 7691 9184 15382 18368 30764 53837 61528 107674 123056 215348 246112 315331 430696 492224 594617 630662 861392 1189234 1261324 1722784 2207317 2378468 2522648 3445568 4162319 4414634 4756936 5045296 8324638 8829268 9513872 10090592 16649276 17658536 19027744 20181184 24379297 33298552 35317072 38055488 48758594 66597104 70634144 97517188 133194208 141268288 170655079 195034376 266388416 341310158 390068752 682620316 780137504 1365240632 1560275008 2730481264 4573199347 5460962528 9146398694 10921925056 18292797388 32012395429 36585594776 64024790858 73171189552 128049581716 146342379104 187501173227 256099163432 292684758208 375002346454 512198326864 750004692908 1024396653728 1312508212589 1500009385816 2048793307456 2625016425178 3000018771632 5250032850356 6000037543264 10500065700712 12000075086528 21000131401424 42000262802848 84000525605696