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326106237420 = 2232519709134489
BaseRepresentation
bin1001011111011010111…
…00100100100111101100
31011011201220102022000100
410233231130210213230
520320331144044140
6405451112231100
732363134165605
oct4575534444754
91134656368010
10326106237420
11116334518927
125325039b490
13249a05bab82
1411ad83acdac
15873954a530
hex4bed7249ec

326106237420 has 144 divisors (see below), whose sum is σ = 1042727868000. Its totient is φ = 82267923456.

The previous prime is 326106237409. The next prime is 326106237427. The reversal of 326106237420 is 24732601623.

326106237420 is a `hidden beast` number, since 3 + 2 + 6 + 1 + 0 + 623 + 7 + 4 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (326106237427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2357536 + ... + 2492024.

It is an arithmetic number, because the mean of its divisors is an integer number (7241165750).

Almost surely, 2326106237420 is an apocalyptic number.

326106237420 is a gapful number since it is divisible by the number (30) 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 326106237420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521363934000).

326106237420 is an abundant number, since it is smaller than the sum of its proper divisors (716621630580).

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

326106237420 is a wasteful number, since it uses less digits than its factorization.

326106237420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135232 (or 135227 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 326106237420 in words is "three hundred twenty-six billion, one hundred six million, two hundred thirty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 709 855 1140 1418 1710 2127 2836 3420 3545 4254 6381 7090 8508 10635 12762 13471 14180 21270 25524 26942 31905 40413 42540 53884 63810 67355 80826 121239 127620 134489 134710 161652 202065 242478 268978 269420 403467 404130 484956 537956 606195 672445 806934 808260 1210401 1212390 1344890 1613868 2017335 2420802 2424780 2555291 2689780 4034670 4841604 5110582 6052005 7665873 8069340 10221164 12104010 12776455 15331746 22997619 24208020 25552910 30663492 38329365 45995238 51105820 76658730 91990476 95352701 114988095 153317460 190705402 229976190 286058103 381410804 459952380 476763505 572116206 858174309 953527010 1144232412 1430290515 1716348618 1811701319 1907054020 2860581030 3432697236 3623402638 4290871545 5435103957 5721162060 7246805276 8581743090 9058506595 10870207914 16305311871 17163486180 18117013190 21740415828 27175519785 32610623742 36234026380 54351039570 65221247484 81526559355 108702079140 163053118710 326106237420