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9930394667520 = 29325431006713
BaseRepresentation
bin1001000010000001100110…
…1001011000101000000000
31022011100002021112000000100
42100200121221120220000
52300144422013330040
633041543233122400
72043306302646645
oct220403151305000
938140067460010
109930394667520
1131895029a5558
1211446b10b9400
13570580706262
142648c2acddcc
151234a42e0b30
hex90819a58a00

9930394667520 has 120 divisors (see below), whose sum is σ = 34391749736916. Its totient is φ = 2648105238528.

The previous prime is 9930394667507. The next prime is 9930394667551. The reversal of 9930394667520 is 257664930399.

9930394667520 is a `hidden beast` number, since 9 + 9 + 3 + 0 + 3 + 9 + 46 + 67 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9047005214976 + 883389452544 = 3007824^2 + 939888^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×99303946675202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215480317 + ... + 215526396.

Almost surely, 29930394667520 is an apocalyptic number.

9930394667520 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9930394667520 is an abundant number, since it is smaller than the sum of its proper divisors (24461355069396).

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

9930394667520 is a wasteful number, since it uses less digits than its factorization.

9930394667520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431006742 (or 431006723 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 9930394667520 in words is "nine trillion, nine hundred thirty billion, three hundred ninety-four million, six hundred sixty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 431006713 862013426 1293020139 1724026852 2155033565 2586040278 3448053704 3879060417 4310067130 5172080556 6465100695 6896107408 7758120834 8620134260 10344161112 12930201390 13792214816 15516241668 17240268520 19395302085 20688322224 25860402780 27584429632 31032483336 34480537040 38790604170 41376644448 51720805560 55168859264 62064966672 68961074080 77581208340 82753288896 103441611120 110337718528 124129933344 137922148160 155162416680 165506577792 206883222240 220675437056 248259866688 275844296320 310324833360 331013155584 413766444480 496519733376 551688592640 620649666720 662026311168 827532888960 993039466752 1103377185280 1241299333440 1655065777920 1986078933504 2482598666880 3310131555840 4965197333760 9930394667520