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34151763912 = 23375316323531
BaseRepresentation
bin11111110011100110…
…101000111111001000
310021011002120100202220
4133303212220333020
51024420322421122
623404502454040
72316212126550
oct376346507710
9107132510686
1034151763912
1113535864782
126751434320
1332b3582536
14191d9c6160
15d4d37b25c
hex7f39a8fc8

34151763912 has 128 divisors (see below), whose sum is σ = 100031708160. Its totient is φ = 9514402560.

The previous prime is 34151763839. The next prime is 34151763931. The reversal of 34151763912 is 21936715143.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1439587 + ... + 1463117.

It is an arithmetic number, because the mean of its divisors is an integer number (781497720).

Almost surely, 234151763912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34151763912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50015854080).

34151763912 is an abundant number, since it is smaller than the sum of its proper divisors (65879944248).

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

34151763912 is a wasteful number, since it uses less digits than its factorization.

34151763912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23763 (or 23759 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The spelling of 34151763912 in words is "thirty-four billion, one hundred fifty-one million, seven hundred sixty-three thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 163 168 212 318 326 371 424 489 636 652 742 978 1113 1141 1272 1304 1484 1956 2226 2282 2968 3423 3912 4452 4564 6846 8639 8904 9128 13692 17278 23531 25917 27384 34556 47062 51834 60473 69112 70593 94124 103668 120946 141186 164717 181419 188248 207336 241892 282372 329434 362838 483784 494151 564744 658868 725676 988302 1247143 1317736 1451352 1976604 2494286 3741429 3835553 3953208 4988572 7482858 7671106 8730001 9977144 11506659 14965716 15342212 17460002 23013318 26190003 26848871 29931432 30684424 34920004 46026636 52380006 53697742 69840008 80546613 92053272 104760012 107395484 161093226 203284309 209520024 214790968 322186452 406568618 609852927 644372904 813137236 1219705854 1422990163 1626274472 2439411708 2845980326 4268970489 4878823416 5691960652 8537940978 11383921304 17075881956 34151763912