Search a number
-
+
1952446240926 = 2331713915797459
BaseRepresentation
bin11100011010010110110…
…111010101100010011110
320220122121100001121001000
4130122112313111202132
5223442102214202201
64052535202531130
7261026303136036
oct34322667254236
96818540047030
101952446240926
11693034003855
12276492366aa6
131121655506ac
146a6dadb88c6
1535bc3294d86
hex1c696dd589e

1952446240926 has 128 divisors (see below), whose sum is σ = 4656560832000. Its totient is φ = 604245837312.

The previous prime is 1952446240889. The next prime is 1952446240961. The reversal of 1952446240926 is 6290426442591.

It is a happy number.

1952446240926 is a `hidden beast` number, since 1 + 9 + 5 + 2 + 4 + 4 + 624 + 0 + 9 + 2 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19984785 + ... + 20082243.

It is an arithmetic number, because the mean of its divisors is an integer number (36379381500).

Almost surely, 21952446240926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1952446240926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328280416000).

1952446240926 is an abundant number, since it is smaller than the sum of its proper divisors (2704114591074).

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

1952446240926 is a wasteful number, since it uses less digits than its factorization.

1952446240926 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97783 (or 97777 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 1952446240926 in words is "one trillion, nine hundred fifty-two billion, four hundred forty-six million, two hundred forty thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 139 153 157 278 306 314 417 459 471 834 918 942 1251 1413 2363 2502 2669 2826 3753 4239 4726 5338 7089 7506 8007 8478 14178 16014 21267 21823 24021 42534 43646 48042 63801 65469 72063 97459 127602 130938 144126 194918 196407 292377 370991 392814 584754 589221 741982 877131 1112973 1178442 1656803 1754262 2225946 2631393 3313606 3338919 4970409 5262786 6677838 9940818 10016757 13546801 14911227 15301063 20033514 27093602 29822454 30602126 40640403 44733681 45903189 81280806 89467362 91806378 121921209 137709567 230295617 243842418 260118071 275419134 365763627 413128701 460591234 520236142 690886851 731527254 780354213 826257402 1381773702 1560708426 2072660553 2126847757 2341062639 4145321106 4253695514 4682125278 6217981659 6380543271 7023187917 12435963318 12761086542 14046375834 19141629813 36156411869 38283259626 57424889439 72312823738 108469235607 114849778878 216938471214 325407706821 650815413642 976223120463 1952446240926