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464742204052060 = 2251119231718459629
BaseRepresentation
bin110100110101011100011100…
…1111111000001001001011100
32020221111220212021012201022101
41221222320321333001021130
5441403314013214131220
64324231342100054444
7166614342026265244
oct15152707177011134
92227456767181271
10464742204052060
11125099075423a30
124415a19b994424
1316c42003c33c6c
1482a98dd7a6b24
1538ae027e9830a
hex1a6ae39fc125c

464742204052060 has 144 divisors (see below), whose sum is σ = 1127212053176160. Its totient is φ = 159597513377280.

The previous prime is 464742204052037. The next prime is 464742204052109. The reversal of 464742204052060 is 60250402247464.

It is a self number, because there is not a number n which added to its sum of digits gives 464742204052060.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15946326 + ... + 34405954.

It is an arithmetic number, because the mean of its divisors is an integer number (7827861480390).

Almost surely, 2464742204052060 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 464742204052060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563606026588080).

464742204052060 is an abundant number, since it is smaller than the sum of its proper divisors (662469849124100).

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

464742204052060 is a wasteful number, since it uses less digits than its factorization.

464742204052060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18460004 (or 18459983 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 46.

The spelling of 464742204052060 in words is "four hundred sixty-four trillion, seven hundred forty-two billion, two hundred four million, fifty-two thousand, sixty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 317 361 380 418 634 722 836 1045 1268 1444 1585 1805 2090 3170 3487 3610 3971 4180 6023 6340 6974 7220 7942 12046 13948 15884 17435 19855 24092 30115 34870 39710 60230 66253 69740 79420 114437 120460 132506 228874 265012 331265 457748 572185 662530 1144370 1258807 1325060 2288740 2517614 5035228 6294035 12588070 18459629 25176140 36919258 73838516 92298145 184596290 203055919 350732951 369192580 406111838 701465902 812223676 1015279595 1402931804 1753664755 2030559190 3507329510 3858062461 4061118380 5851702393 6663926069 7014659020 7716124922 11703404786 13327852138 15432249844 19290312305 23406809572 26655704276 29258511965 33319630345 38580624610 58517023930 64368726323 66639260690 73303186759 77161249220 111182345467 117034047860 128737452646 133278521380 146606373518 222364690934 257474905292 293212747036 321843631615 366515933795 444729381868 555911727335 643687263230 733031867590 1111823454670 1223005800137 1287374526460 1466063735180 2112464563873 2223646909340 2446011600274 4224929127746 4892023200548 6115029000685 8449858255492 10562322819365 12230058001370 21124645638730 23237110202603 24460116002740 42249291277460 46474220405206 92948440810412 116185551013015 232371102026030 464742204052060