Search a number
-
+
1885513680384 = 29317335320101
BaseRepresentation
bin11011011100000001010…
…111111000011000000000
320200020211200122020001020
4123130001113320120000
5221343013000233014
64002105405505440
7253136533562415
oct33340127703000
96606750566036
101885513680384
11667707354414
12265512872280
13108a59770799
146738b92210c
15340a70ea1a9
hex1b7015f8600

1885513680384 has 160 divisors (see below), whose sum is σ = 5066725824864. Its totient is φ = 623070412800.

The previous prime is 1885513680377. The next prime is 1885513680397. The reversal of 1885513680384 is 4830863155881.

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 15 ways as a sum of consecutive naturals, for example, 93791934 + ... + 93812034.

Almost surely, 21885513680384 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 1885513680384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533362912432).

1885513680384 is an abundant number, since it is smaller than the sum of its proper divisors (3181212144480).

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

1885513680384 is a wasteful number, since it uses less digits than its factorization.

1885513680384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20648 (or 20632 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 60.

The spelling of 1885513680384 in words is "one trillion, eight hundred eighty-five billion, five hundred thirteen million, six hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 256 346 353 384 512 519 692 706 768 1038 1059 1384 1412 1536 2076 2118 2768 2824 4152 4236 5536 5648 8304 8472 11072 11296 16608 16944 20101 22144 22592 33216 33888 40202 44288 45184 60303 61069 66432 67776 80404 88576 90368 120606 122138 132864 135552 160808 180736 183207 241212 244276 265728 271104 321616 366414 482424 488552 542208 643232 732828 964848 977104 1286464 1465656 1929696 1954208 2572928 2931312 3477473 3859392 3908416 5145856 5862624 6954946 7095653 7718784 7816832 10291712 10432419 11725248 13909892 14191306 15437568 15633664 20864838 21286959 23450496 27819784 28382612 30875136 31267328 41729676 42573918 46900992 55639568 56765224 83459352 85147836 93801984 111279136 113530448 166918704 170295672 222558272 227060896 333837408 340591344 445116544 454121792 667674816 681182688 890233088 908243584 1227547969 1335349632 1362365376 1780466176 1816487168 2455095938 2670699264 2724730752 3632974336 3682643907 4910191876 5341398528 5449461504 7365287814 9820383752 10898923008 14730575628 19640767504 29461151256 39281535008 58922302512 78563070016 117844605024 157126140032 235689210048 314252280064 471378420096 628504560128 942756840192 1885513680384