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84135538365136 = 24193711503650269
BaseRepresentation
bin10011001000010101010100…
…111000001001001011010000
3102000220021112022220001212121
4103020111110320021023100
542011434040310141021
6454535155512104024
723502410034201106
oct2310252470111320
9360807468801777
1084135538365136
1124898754aa8605
12952a045695014
1337c3c410897bb
1416ac278b61c76
159ad859aa4741
hex4c8554e092d0

84135538365136 has 80 divisors (see below), whose sum is σ = 176245435244800. Its totient is φ = 38773119066624.

The previous prime is 84135538365133. The next prime is 84135538365163. The reversal of 84135538365136 is 63156383553148.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84135538365133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129060610 + ... + 129710878.

It is an arithmetic number, because the mean of its divisors is an integer number (2203067940560).

Almost surely, 284135538365136 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 84135538365136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88122717622400).

84135538365136 is an abundant number, since it is smaller than the sum of its proper divisors (92109896879664).

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

84135538365136 is a wasteful number, since it uses less digits than its factorization.

84135538365136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661836 (or 661830 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 61.

The spelling of 84135538365136 in words is "eighty-four trillion, one hundred thirty-five billion, five hundred thirty-eight million, three hundred sixty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 37 38 74 76 148 152 296 304 592 703 1406 2812 5624 11248 11503 23006 46012 92024 184048 218557 425611 437114 650269 851222 874228 1300538 1702444 1748456 2601076 3404888 3496912 5202152 6809776 8086609 10404304 12355111 16173218 24059953 24710222 32346436 48119906 49420444 64692872 96239812 98840888 129385744 192479624 197681776 384959248 457139107 914278214 1828556428 3657112856 7314225712 7480044307 14960088614 29920177228 59840354456 119680708912 142120841833 276761639359 284241683666 553523278718 568483367332 1107046557436 1136966734664 2214093114872 2273933469328 4428186229744 5258471147821 10516942295642 21033884591284 42067769182568 84135538365136