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1970382736368 = 243347193502819
BaseRepresentation
bin11100101011000011111…
…101101000101111110000
320222100220100201222012000
4130223003331220233300
5224240320440030433
64105103100134000
7262232630626464
oct34530375505760
96870810658160
101970382736368
1169a6a8761302
12279a59237300
13113a63577ac7
146b51d1d44a4
15363c2ca7113
hex1cac3f68bf0

1970382736368 has 160 divisors (see below), whose sum is σ = 5806002201600. Its totient is φ = 639487954944.

The previous prime is 1970382736367. The next prime is 1970382736429. The reversal of 1970382736368 is 8636372830791.

1970382736368 is a `hidden beast` number, since 1 + 9 + 70 + 382 + 73 + 63 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1970382736367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3667263 + ... + 4170081.

It is an arithmetic number, because the mean of its divisors is an integer number (36287513760).

Almost surely, 21970382736368 is an apocalyptic number.

1970382736368 is a gapful number since it is divisible by the number (18) 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 1970382736368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903001100800).

1970382736368 is an abundant number, since it is smaller than the sum of its proper divisors (3835619465232).

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

1970382736368 is a wasteful number, since it uses less digits than its factorization.

1970382736368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503076 (or 503064 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 1970382736368 in words is "one trillion, nine hundred seventy billion, three hundred eighty-two million, seven hundred thirty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 193 216 282 376 386 423 432 564 579 752 772 846 1128 1158 1269 1544 1692 1737 2256 2316 2538 3088 3384 3474 4632 5076 5211 6768 6948 9071 9264 10152 10422 13896 18142 20304 20844 27213 27792 36284 41688 54426 72568 81639 83376 108852 145136 163278 217704 244917 326556 435408 489834 502819 653112 979668 1005638 1306224 1508457 1959336 2011276 3016914 3918672 4022552 4525371 6033828 8045104 9050742 12067656 13576113 18101484 23632493 24135312 27152226 36202968 47264986 54304452 70897479 72405936 94529972 97044067 108608904 141794958 189059944 194088134 212692437 217217808 283589916 291132201 378119888 388176268 425384874 567179832 582264402 638077311 776352536 850769748 873396603 1134359664 1164528804 1276154622 1552705072 1701539496 1746793206 2329057608 2552309244 2620189809 3403078992 3493586412 4561071149 4658115216 5104618488 5240379618 6987172824 9122142298 10209236976 10480759236 13683213447 13974345648 18244284596 20961518472 27366426894 36488569192 41049640341 41923036944 54732853788 72977138384 82099280682 109465707576 123148921023 164198561364 218931415152 246297842046 328397122728 492595684092 656794245456 985191368184 1970382736368