Search a number
-
+
1970852322348 = 22327131447415759
BaseRepresentation
bin11100101011011111111…
…100111101110000101100
320222102010002100102001100
4130223133330331300230
5224242301143303343
64105221433043100
7262250362222020
oct34533774756054
96872102312040
101970852322348
1169a919835198
12279b6a556490
13113b09941630
146b565710380
15363ee1139d3
hex1cadff3dc2c

1970852322348 has 144 divisors (see below), whose sum is σ = 6135792732160. Its totient is φ = 519424762752.

The previous prime is 1970852322293. The next prime is 1970852322389. The reversal of 1970852322348 is 8432232580791.

1970852322348 is a `hidden beast` number, since 1 + 9 + 70 + 8 + 523 + 2 + 2 + 3 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1970852322294 and 1970852322303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4532493 + ... + 4948251.

Almost surely, 21970852322348 is an apocalyptic number.

1970852322348 is a gapful number since it is divisible by the number (18) 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 1970852322348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067896366080).

1970852322348 is an abundant number, since it is smaller than the sum of its proper divisors (4164940409812).

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

1970852322348 is a wasteful number, since it uses less digits than its factorization.

1970852322348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417236 (or 417231 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1970852322348 in words is "one trillion, nine hundred seventy billion, eight hundred fifty-two million, three hundred twenty-two thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1447 1638 2894 3276 4341 5788 8682 10129 13023 17364 18811 20258 26046 30387 37622 40516 52092 56433 60774 75244 91161 112866 121548 131677 169299 182322 225732 263354 338598 364644 395031 415759 526708 677196 790062 831518 1185093 1247277 1580124 1663036 2370186 2494554 2910313 3741831 4740372 4989108 5404867 5820626 7483662 8730939 10809734 11641252 14967324 16214601 17461878 21619468 26192817 32429202 34923756 37834069 48643803 52385634 64858404 75668138 97287606 104771268 113502207 151336276 194575212 227004414 340506621 454008828 601603273 681013242 1203206546 1362026484 1804809819 2406413092 3609619638 4211222911 5414429457 7219239276 7820842549 8422445822 10828858914 12633668733 15641685098 16844891644 21657717828 23462527647 25267337466 31283370196 37901006199 46925055294 50534674932 54745897843 70387582941 75802012398 93850110588 109491795686 140775165882 151604024796 164237693529 218983591372 281550331764 328475387058 492713080587 656950774116 985426161174 1970852322348