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10342871908752 = 2431954132095117
BaseRepresentation
bin1001011010000010001100…
…1101001100000110010000
31100121202202112012220020210
42112200203031030012100
52323424200202040002
633555241052004120
72115151002442365
oct226404315140620
940552675186223
1010342871908752
113328429610969
1211b0626a60640
135a0437023176
1427a85202046c
1512e0962c996c
hex9682334c190

10342871908752 has 80 divisors (see below), whose sum is σ = 28130562752960. Its totient is φ = 3265565124096.

The previous prime is 10342871908751. The next prime is 10342871908753. The reversal of 10342871908752 is 25780917824301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10342871908751) and next prime (10342871908753).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 10342871908692 and 10342871908701.

It is not an unprimeable number, because it can be changed into a prime (10342871908751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3889098 + ... + 5984214.

It is an arithmetic number, because the mean of its divisors is an integer number (351632034412).

Almost surely, 210342871908752 is an apocalyptic number.

10342871908752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10342871908752 is an abundant number, since it is smaller than the sum of its proper divisors (17787690844208).

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

10342871908752 is a wasteful number, since it uses less digits than its factorization.

10342871908752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100560 (or 2100554 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 10342871908752 in words is "ten trillion, three hundred forty-two billion, eight hundred seventy-one million, nine hundred eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 5413 10826 16239 21652 32478 43304 64956 86608 102847 129912 205694 259824 308541 411388 617082 822776 1234164 1645552 2095117 2468328 4190234 4936656 6285351 8380468 12570702 16760936 25141404 33521872 39807223 50282808 79614446 100565616 119421669 159228892 238843338 318457784 477686676 636915568 955373352 1910746704 11340868321 22681736642 34022604963 45363473284 68045209926 90726946568 136090419852 181453893136 215476498099 272180839704 430952996198 544361679408 646429494297 861905992396 1292858988594 1723811984792 2585717977188 3447623969584 5171435954376 10342871908752