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9961969920 = 28357370609
BaseRepresentation
bin10010100011100011…
…11001100100000000
3221201021012111122220
421101301321210000
5130400231014140
64324303331040
7501603230040
oct112161714400
927637174586
109961969920
1142522aa4a1
121b202b0a80
13c29b63476
146a70a3720
153d4899bd0
hex251c79900

9961969920 has 144 divisors (see below), whose sum is σ = 36361288320. Its totient is φ = 2277015552.

The previous prime is 9961969903. The next prime is 9961969931. The reversal of 9961969920 is 299691699.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 15 ways as a sum of consecutive naturals, for example, 158425 + ... + 212184.

Almost surely, 29961969920 is an apocalyptic number.

It is an amenable number.

9961969920 is an abundant number, since it is smaller than the sum of its proper divisors (26399318400).

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

9961969920 is a wasteful number, since it uses less digits than its factorization.

9961969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370640 (or 370626 counting only the distinct ones).

The product of its (nonzero) digits is 4251528, while the sum is 60.

The square root of 9961969920 is about 99809.6684695426. The cubic root of 9961969920 is about 2151.7001097659.

The spelling of 9961969920 in words is "nine billion, nine hundred sixty-one million, nine hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 5376 6720 8960 13440 26880 370609 741218 1111827 1482436 1853045 2223654 2594263 2964872 3706090 4447308 5188526 5559135 5929744 7412180 7782789 8894616 10377052 11118270 11859488 12971315 14824360 15565578 17789232 20754104 22236540 23718976 25942630 29648720 31131156 35578464 38913945 41508208 44473080 47437952 51885260 59297440 62262312 71156928 77827890 83016416 88946160 94875904 103770520 118594880 124524624 142313856 155655780 166032832 177892320 207541040 237189760 249049248 284627712 311311560 332065664 355784640 415082080 474379520 498098496 622623120 664131328 711569280 830164160 996196992 1245246240 1423138560 1660328320 1992393984 2490492480 3320656640 4980984960 9961969920