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84298135789480 = 235191911204948197
BaseRepresentation
bin10011001010101100110000…
…011100000101111110101000
3102001110211020000122001020011
4103022230300130011332220
542022120040230230410
6455142010131141304
723520224250410044
oct2312546034057650
9361424200561204
1084298135789480
1124950703007058
129555663144834
1338063844a6bb2
1416b60a1607024
159b2bc45b418a
hex4cab30705fa8

84298135789480 has 128 divisors (see below), whose sum is σ = 200719607040000. Its totient is φ = 31774011125760.

The previous prime is 84298135789471. The next prime is 84298135789489. The reversal of 84298135789480 is 8498753189248.

It is an interprime number because it is at equal distance from previous prime (84298135789471) and next prime (84298135789489).

It is a Harshad number since it is a multiple of its sum of digits (76).

It is a junction number, because it is equal to n+sod(n) for n = 84298135789397 and 84298135789406.

It is not an unprimeable number, because it can be changed into a prime (84298135789489) 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, 1749008742 + ... + 1749056938.

It is an arithmetic number, because the mean of its divisors is an integer number (1568121930000).

Almost surely, 284298135789480 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 84298135789480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100359803520000).

84298135789480 is an abundant number, since it is smaller than the sum of its proper divisors (116421471250520).

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

84298135789480 is a wasteful number, since it uses less digits than its factorization.

84298135789480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60467 (or 60463 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 76.

The spelling of 84298135789480 in words is "eighty-four trillion, two hundred ninety-eight billion, one hundred thirty-five million, seven hundred eighty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 191 380 382 760 764 955 1528 1910 3629 3820 7258 7640 12049 14516 18145 24098 29032 36290 48196 48197 60245 72580 96392 96394 120490 145160 192788 228931 240980 240985 385576 457862 481960 481970 915724 915743 963940 1144655 1831448 1831486 1927880 2289310 2301359 3662972 4578620 4578715 4602718 7325944 9157240 9157430 9205436 9205627 11506795 18314860 18410872 18411254 23013590 36629720 36822508 43725821 46027180 46028135 73645016 87451642 92054360 92056270 174903284 174906913 184112540 218629105 349806568 349813826 368225080 437258210 580725653 699627652 874516420 874534565 1161451306 1399255304 1749032840 1749069130 2322902612 2903628265 3498138260 4645805224 5807256530 6996276520 11033787407 11614513060 22067574814 23229026120 44135149628 55168937035 88270299256 110337874070 110918599723 220675748140 221837199446 441351496280 443674398892 554592998615 887348797784 1109185997230 2107453394737 2218371994460 4214906789474 4436743988920 8429813578948 10537266973685 16859627157896 21074533947370 42149067894740 84298135789480