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1055915099936 = 251921032693299
BaseRepresentation
bin11110101110110010111…
…00011100011100100000
310201221111112112210210022
433113121130130130200
5114300003231144221
62125025233053012
7136200363155054
oct17273134343440
93657445483708
101055915099936
113778a1601094
121507879b7168
13787596497a8
143916c5a5c64
151c7005734ab
hexf5d971c720

1055915099936 has 144 divisors (see below), whose sum is σ = 2224213992000. Its totient is φ = 493323388416.

The previous prime is 1055915099843. The next prime is 1055915099969. The reversal of 1055915099936 is 6399905195501.

It is a happy number.

It is a super-2 number, since 2×10559150999362 (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 23 ways as a sum of consecutive naturals, for example, 320069615 + ... + 320072913.

It is an arithmetic number, because the mean of its divisors is an integer number (15445930500).

Almost surely, 21055915099936 is an apocalyptic number.

1055915099936 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 1055915099936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112106996000).

1055915099936 is an abundant number, since it is smaller than the sum of its proper divisors (1168298892064).

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

1055915099936 is a wasteful number, since it uses less digits than its factorization.

1055915099936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 14762250, while the sum is 62.

The spelling of 1055915099936 in words is "one trillion, fifty-five billion, nine hundred fifteen million, ninety-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 76 103 152 206 269 304 361 412 538 608 722 824 1076 1444 1648 1957 2152 2888 3296 3299 3914 4304 5111 5776 6598 7828 8608 10222 11552 13196 15656 20444 26392 27707 31312 37183 40888 52784 55414 62624 62681 74366 81776 97109 105568 110828 125362 148732 163552 194218 221656 250724 297464 339797 388436 443312 501448 526433 594928 679594 776872 886624 887431 1002896 1052866 1189856 1190939 1359188 1553744 1774862 2005792 2105732 2381878 2718376 3107488 3549724 4211464 4763756 5436752 6456143 7099448 8422928 9527512 10002227 10873504 12912286 14198896 16845856 16861189 19055024 20004454 25824572 28397792 33722378 38110048 40008908 51649144 67444756 80017816 91405393 103298288 122666717 134889512 160035632 182810786 206596576 245333434 269779024 320071264 320362591 365621572 490666868 539558048 640725182 731243144 981333736 1281450364 1462486288 1736702467 1962667472 2562900728 2924972576 3473404934 3925334944 5125801456 6946809868 10251602912 13893619736 27787239472 32997346873 55574478944 65994693746 131989387492 263978774984 527957549968 1055915099936