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2143274389968 = 2433782310191439
BaseRepresentation
bin11111001100000101000…
…110111101000111010000
321120220011110212222022210
4133030011012331013100
5240103411220434333
64320335012232120
7310563223503555
oct37140506750720
97526143788283
102143274389968
11756a59577638
122a746a30b640
1312715760c90a
1475a40d0ca2c
153ab413e3a63
hex1f3051bd1d0

2143274389968 has 160 divisors (see below), whose sum is σ = 5702892134400. Its totient is φ = 693108085248.

The previous prime is 2143274389939. The next prime is 2143274389999. The reversal of 2143274389968 is 8699834723412.

It is a super-2 number, since 2×21432743899682 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2143274389899 and 2143274389908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1489418593 + ... + 1489420031.

It is an arithmetic number, because the mean of its divisors is an integer number (35643075840).

Almost surely, 22143274389968 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 2143274389968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851446067200).

2143274389968 is an abundant number, since it is smaller than the sum of its proper divisors (3559617744432).

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

2143274389968 is a wasteful number, since it uses less digits than its factorization.

2143274389968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3329 (or 3323 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 66.

The spelling of 2143274389968 in words is "two trillion, one hundred forty-three billion, two hundred seventy-four million, three hundred eighty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 823 888 1019 1439 1646 1776 2038 2469 2878 3057 3292 4076 4317 4938 5756 6114 6584 8152 8634 9876 11512 12228 13168 16304 17268 19752 23024 24456 30451 34536 37703 39504 48912 53243 60902 69072 75406 91353 106486 113109 121804 150812 159729 182706 212972 226218 243608 301624 319458 365412 425944 452436 487216 603248 638916 730824 838637 851888 904872 1184297 1277832 1461648 1466341 1677274 1809744 2368594 2515911 2555664 2932682 3354548 3552891 4399023 4737188 5031822 5865364 6709096 7105782 8798046 9474376 10063644 11730728 13418192 14211564 17596092 18948752 20127288 23461456 28423128 31029569 35192184 40254576 43818989 54254617 56846256 62059138 70384368 87637978 93088707 108509234 124118276 131456967 162763851 175275956 186177414 217018468 248236552 262913934 325527702 350551912 372354828 434036936 496473104 525827868 651055404 701103824 744709656 868073872 1051655736 1206798643 1302110808 1489419312 2103311472 2413597286 2604221616 3620395929 4827194572 7240791858 9654389144 14481583716 19308778288 28963167432 44651549791 57926334864 89303099582 133954649373 178606199164 267909298746 357212398328 535818597492 714424796656 1071637194984 2143274389968