Search a number
-
+
1970922663936 = 2123283644153
BaseRepresentation
bin11100101011100100001…
…001010011000000000000
320222102021222201010120100
4130223210021103000000
5224242422200221221
64105232424442400
7262252205140362
oct34534411230000
96872258633510
101970922663936
1169a955509936
12279b8a019400
13113b1b39c785
146b570bc0d32
15364053aa926
hex1cae4253000

1970922663936 has 156 divisors (see below), whose sum is σ = 5761681832088. Its totient is φ = 649057861632.

The previous prime is 1970922663911. The next prime is 1970922663961. The reversal of 1970922663936 is 6393662290791.

1970922663936 is a `hidden beast` number, since 19 + 7 + 0 + 9 + 226 + 6 + 393 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1970922663911) and next prime (1970922663961).

It is a super-2 number, since 2×19709226639362 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2737636 + ... + 3381788.

It is an arithmetic number, because the mean of its divisors is an integer number (36933857898).

Almost surely, 21970922663936 is an apocalyptic number.

1970922663936 is a gapful number since it is divisible by the number (16) 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 1970922663936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880840916044).

1970922663936 is an abundant number, since it is smaller than the sum of its proper divisors (3790759168152).

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

1970922663936 is an equidigital number, since it uses as much as digits as its factorization.

1970922663936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644266 (or 644241 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 63.

The spelling of 1970922663936 in words is "one trillion, nine hundred seventy billion, nine hundred twenty-two million, six hundred sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 256 288 332 384 498 512 576 664 747 768 996 1024 1152 1328 1494 1536 1992 2048 2304 2656 2988 3072 3984 4096 4608 5312 5976 6144 7968 9216 10624 11952 12288 15936 18432 21248 23904 31872 36864 42496 47808 63744 84992 95616 127488 169984 191232 254976 339968 382464 509952 644153 764928 1019904 1288306 1529856 1932459 2576612 3059712 3864918 5153224 5797377 7729836 10306448 11594754 15459672 20612896 23189508 30919344 41225792 46379016 53464699 61838688 82451584 92758032 106929398 123677376 160394097 164903168 185516064 213858796 247354752 320788194 329806336 371032128 427717592 481182291 494709504 641576388 659612672 742064256 855435184 962364582 989419008 1283152776 1319225344 1484128512 1710870368 1924729164 1978838016 2566305552 2638450688 2968257024 3421740736 3849458328 3957676032 5132611104 5936514048 6843481472 7698916656 7915352064 10265222208 11873028096 13686962944 15397833312 20530444416 23746056192 27373925888 30795666624 41060888832 54747851776 61591333248 82121777664 109495703552 123182666496 164243555328 218991407104 246365332992 328487110656 492730665984 656974221312 985461331968 1970922663936