Search a number
-
+
1380926798048 = 257219211219679
BaseRepresentation
bin10100000110000101101…
…001101011100011100000
311220000102011101202010202
4110012011221223203200
5140111114230014143
62534220005444332
7201524440053200
oct24060551534340
94800364352122
101380926798048
114927141a4376
121a37717106a8
13a02b4249365
144aba1458400
1525dc3965ab8
hex14185a6b8e0

1380926798048 has 144 divisors (see below), whose sum is σ = 3344812531200. Its totient is φ = 558017268480.

The previous prime is 1380926798003. The next prime is 1380926798063. The reversal of 1380926798048 is 8408976290831.

It is a happy number.

It is a super-2 number, since 2×13809267980482 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6176273 + ... + 6395951.

It is an arithmetic number, because the mean of its divisors is an integer number (23227864800).

Almost surely, 21380926798048 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 1380926798048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672406265600).

1380926798048 is an abundant number, since it is smaller than the sum of its proper divisors (1963885733152).

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

1380926798048 is a wasteful number, since it uses less digits than its factorization.

1380926798048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219933 (or 219918 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 65.

The spelling of 1380926798048 in words is "one trillion, three hundred eighty billion, nine hundred twenty-six million, seven hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 211 224 266 304 392 422 532 608 784 844 931 1064 1477 1568 1688 1862 2128 2954 3376 3724 4009 4256 5908 6752 7448 8018 10339 11816 14896 16036 20678 23632 28063 29792 32072 41356 47264 56126 64144 82712 112252 128288 165424 196441 219679 224504 330848 392882 439358 449008 785764 878716 898016 1537753 1571528 1757432 3075506 3143056 3514864 4173901 6151012 6286112 7029728 8347802 10764271 12302024 16695604 21528542 24604048 29217307 33391208 43057084 46352269 49208096 58434614 66782416 86114168 92704538 116869228 133564832 172228336 185409076 204521149 233738456 324465883 344456672 370818152 409042298 467476912 648931766 741636304 818084596 880693111 934953824 1297863532 1483272608 1636169192 1761386222 2271261181 2595727064 3272338384 3522772444 4542522362 5191454128 6164851777 6544676768 7045544888 9085044724 10382908256 12329703554 14091089776 18170089448 24659407108 28182179552 36340178896 43153962439 49318814216 72680357792 86307924878 98637628432 172615849756 197275256864 345231699512 690463399024 1380926798048