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1974648869284 = 227413211032
BaseRepresentation
bin11100101111000010001…
…111101001000110100100
320222202220200012222100211
4130233002033221012210
5224323040102304114
64111050254145204
7262443432310000
oct34570217510644
96882820188324
101974648869284
116a1497898093
1227a849ab2204
1311429336a100
146b805a23700
153657259b6c4
hex1cbc23e91a4

1974648869284 has 135 divisors (see below), whose sum is σ = 4369252878753. Its totient is φ = 780471540576.

The previous prime is 1974648869269. The next prime is 1974648869287. The reversal of 1974648869284 is 4829688464791.

The square root of 1974648869284 is 1405222.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 292107820900 + 1682541048384 = 540470^2 + 1297128^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1974648869284.

It is not an unprimeable number, because it can be changed into a prime (1974648869287) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1790252277 + ... + 1790253379.

Almost surely, 21974648869284 is an apocalyptic number.

1974648869284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1974648869284 is the 1405222-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1974648869284

1974648869284 is an abundant number, since it is smaller than the sum of its proper divisors (2394604009469).

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

1974648869284 is an frugal number, since it uses more digits than its factorization.

1974648869284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 1125 counting only the distinct ones).

The product of its digits is 1337720832, while the sum is 76.

The spelling of 1974648869284 in words is "one trillion, nine hundred seventy-four billion, six hundred forty-eight million, eight hundred sixty-nine thousand, two hundred eighty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 343 364 637 676 686 1103 1183 1274 1372 2206 2366 2401 2548 4412 4459 4732 4802 7721 8281 8918 9604 14339 15442 16562 17836 28678 30884 31213 33124 54047 57356 57967 62426 100373 108094 115934 124852 186407 200746 216188 231868 372814 378329 401492 405769 702611 745628 756658 811538 1216609 1304849 1405222 1513316 1623076 2433218 2609698 2648303 2810444 4866436 4918277 5219396 5296606 8516263 9133943 9836554 10593212 15815917 17032526 18267886 19673108 31631834 34065052 34427939 36535772 59613841 63263668 63937601 68855878 110711419 119227682 127875202 137711756 205606921 221422838 238455364 255750404 411213842 417296887 442845676 447563207 774979933 822427684 834593774 895126414 1439248447 1549959866 1669187548 1790252828 2878496894 2921078209 3099919732 5424859531 5756993788 5842156418 10074739129 10849719062 11684312836 20149478258 21699438124 37974016717 40298956516 70523173903 75948033434 141046347806 151896066868 282092695612 493662217321 987324434642 1974648869284