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2023320414864 = 243731164330113
BaseRepresentation
bin11101011100010111010…
…010110110101010010000
321011102112200022200010010
4131130113102312222100
5231122230011233424
64145300042234520
7266115523521540
oct35342722665220
97142480280103
102023320414864
117100a3698721
12288171ab5a40
13118a4bb1b518
146dd01b47320
15379704d0229
hex1d7174b6a90

2023320414864 has 160 divisors (see below), whose sum is σ = 6002339825664. Its totient is φ = 575317463040.

The previous prime is 2023320414823. The next prime is 2023320414877. The reversal of 2023320414864 is 4684140233202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67175872 + ... + 67205984.

Almost surely, 22023320414864 is an apocalyptic number.

2023320414864 is a gapful number since it is divisible by the number (24) 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 2023320414864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001169912832).

2023320414864 is an abundant number, since it is smaller than the sum of its proper divisors (3979019410800).

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

2023320414864 is a wasteful number, since it uses less digits than its factorization.

2023320414864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31085 (or 31079 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The spelling of 2023320414864 in words is "two trillion, twenty-three billion, three hundred twenty million, four hundred fourteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 311 336 622 643 933 1244 1286 1866 1929 2177 2488 2572 3732 3858 4354 4501 4976 5144 6531 7464 7716 8708 9002 10288 13062 13503 14928 15432 17416 18004 26124 27006 30113 30864 34832 36008 52248 54012 60226 72016 90339 104496 108024 120452 180678 199973 210791 216048 240904 361356 399946 421582 481808 599919 632373 722712 799892 843164 1199838 1264746 1399811 1445424 1599784 1686328 2399676 2529492 2799622 3199568 3372656 4199433 4799352 5058984 5599244 8398866 9365143 9598704 10117968 11198488 16797732 18730286 19362659 22396976 28095429 33595464 37460572 38725318 56190858 58087977 65556001 67190928 74921144 77450636 112381716 116175954 131112002 135538613 149842288 154901272 196668003 224763432 232351908 262224004 271077226 309802544 393336006 406615839 449526864 464703816 524448008 542154452 786672012 813231678 929407632 1048896016 1084308904 1573344024 1626463356 2168617808 3146688048 3252926712 6021786949 6505853424 12043573898 18065360847 24087147796 36130721694 42152508643 48174295592 72261443388 84305017286 96348591184 126457525929 144522886776 168610034572 252915051858 289045773552 337220069144 505830103716 674440138288 1011660207432 2023320414864