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23384347299480 = 23352391073375967
BaseRepresentation
bin1010101000100100101111…
…01101101100111010011000
310001210112002100222120121210
411110102113231230322120
511031112120402040410
6121422342034103120
74632314632305426
oct524222755547230
9101715070876553
1023384347299480
1174a6278470582
12275806271aaa0
1310081996179ab
145abb4654c116
152a8431c31220
hex154497b6ce98

23384347299480 has 128 divisors (see below), whose sum is σ = 70454060236800. Its totient is φ = 6209074324992.

The previous prime is 23384347299479. The next prime is 23384347299541. The reversal of 23384347299480 is 8499274348332.

It is a congruent number.

It is an unprimeable number.

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, 307784457 + ... + 307860423.

It is an arithmetic number, because the mean of its divisors is an integer number (550422345600).

Almost surely, 223384347299480 is an apocalyptic number.

23384347299480 is a gapful number since it is divisible by the number (20) 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 23384347299480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35227030118400).

23384347299480 is an abundant number, since it is smaller than the sum of its proper divisors (47069712937320).

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

23384347299480 is a wasteful number, since it uses less digits than its factorization.

23384347299480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86953 (or 86949 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 66.

The spelling of 23384347299480 in words is "twenty-three trillion, three hundred eighty-four billion, three hundred forty-seven million, two hundred ninety-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 239 478 717 956 1195 1434 1912 2390 2868 3585 4780 5736 7170 9560 10733 14340 21466 28680 32199 42932 53665 64398 75967 85864 107330 128796 151934 160995 214660 227901 257592 303868 321990 379835 429320 455802 607736 643980 759670 911604 1139505 1287960 1519340 1823208 2279010 2565187 3038680 4558020 5130374 7695561 9116040 10260748 12825935 15391122 18156113 20521496 25651870 30782244 36312226 38477805 51303740 54468339 61564488 72624452 76955610 90780565 102607480 108936678 145248904 153911220 181561130 217873356 272341695 307822440 363122260 435746712 544683390 726244520 815353811 1089366780 1630707622 2178733560 2446061433 3261415244 4076769055 4892122866 6522830488 8153538110 9784245732 12230307165 16307076220 19568491464 24460614330 32614152440 48921228660 97842457320 194869560829 389739121658 584608682487 779478243316 974347804145 1169217364974 1558956486632 1948695608290 2338434729948 2923043412435 3897391216580 4676869459896 5846086824870 7794782433160 11692173649740 23384347299480