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239467993968 = 24376198231399
BaseRepresentation
bin1101111100000101100…
…1111001101101110000
3211220002221021111220210
43133001121321231300
512410412301301333
6302002102104120
723205145235550
oct3370131715560
9756087244823
10239467993968
1192615492235
123a4b141b040
13197740c1568
14b839b65160
1563683bea63
hex37c1679b70

239467993968 has 160 divisors (see below), whose sum is σ = 709510144000. Its totient is φ = 68177127168.

The previous prime is 239467993949. The next prime is 239467993987. The reversal of 239467993968 is 869399764932.

It is an interprime number because it is at equal distance from previous prime (239467993949) and next prime (239467993987).

It is a self number, because there is not a number n which added to its sum of digits gives 239467993968.

It is a congruent number.

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, 171170133 + ... + 171171531.

It is an arithmetic number, because the mean of its divisors is an integer number (4434438400).

Almost surely, 2239467993968 is an apocalyptic number.

239467993968 is a gapful number since it is divisible by the number (28) 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 239467993968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354755072000).

239467993968 is an abundant number, since it is smaller than the sum of its proper divisors (470042150032).

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

239467993968 is a wasteful number, since it uses less digits than its factorization.

239467993968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2853 counting only the distinct ones).

The product of its digits is 952342272, while the sum is 75.

The spelling of 239467993968 in words is "two hundred thirty-nine billion, four hundred sixty-seven million, nine hundred ninety-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 619 823 1238 1399 1646 1857 2469 2476 2798 3292 3714 4197 4333 4938 4952 5596 5761 6584 7428 8394 8666 9793 9876 9904 11192 11522 12999 13168 14856 16788 17283 17332 19586 19752 22384 23044 25998 29379 29712 33576 34566 34664 39172 39504 46088 51996 58758 67152 69132 69328 78344 92176 103992 117516 138264 156688 207984 235032 276528 470064 509437 865981 1018874 1151377 1528311 1731962 2037748 2302754 2597943 3056622 3454131 3463924 3566059 4075496 4605508 5195886 6061867 6113244 6908262 6927848 7132118 8059639 8150992 9211016 10391772 10698177 12123734 12226488 13816524 13855696 14264236 16119278 18185601 18422032 20783544 21396354 24178917 24247468 24452976 27633048 28528472 32238556 36371202 41567088 42792708 48357834 48494936 55266096 57056944 64477112 72742404 85585416 96715668 96989872 128954224 145484808 171170832 193431336 290969616 386862672 712702363 1425404726 2138107089 2850809452 4276214178 4988916541 5701618904 8552428356 9977833082 11403237808 14966749623 17104856712 19955666164 29933499246 34209713424 39911332328 59866998492 79822664656 119733996984 239467993968