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470150046014135 = 517231101712114593
BaseRepresentation
bin110101011100110010101011…
…0011110111101101010110111
32021122122220110001221011100012
41222321211112132331222313
5443110414243234423020
64343531541025210435
7201013135265443544
oct15271452636755267
92248586401834305
10470150046014135
11126893573208a83
124489228b190a1b
1317244c611c4cb6
1484155529dbbcb
153954a357927c5
hex1ab99567bdab7

470150046014135 has 96 divisors (see below), whose sum is σ = 624908003894784. Its totient is φ = 339113410560000.

The previous prime is 470150046014111. The next prime is 470150046014221. The reversal of 470150046014135 is 531410640051074.

It is not a de Polignac number, because 470150046014135 - 234 = 470132866144951 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 470150046014092 and 470150046014101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32217497399 + ... + 32217511991.

It is an arithmetic number, because the mean of its divisors is an integer number (6509458373904).

Almost surely, 2470150046014135 is an apocalyptic number.

470150046014135 is a deficient number, since it is larger than the sum of its proper divisors (154757957880649).

470150046014135 is a wasteful number, since it uses less digits than its factorization.

470150046014135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21885 (or 21868 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 470150046014135 in words is "four hundred seventy trillion, one hundred fifty billion, forty-six million, fourteen thousand, one hundred thirty-five".

Divisors: 1 5 17 31 85 101 155 289 505 527 1445 1717 2635 3131 7121 8585 8959 14593 15655 29189 35605 44795 53227 72965 121057 145945 220751 248081 266135 452383 605285 719221 904859 1103755 1240405 1473893 2057969 2261915 3596105 3752767 4217377 4524295 7369465 7690511 10289845 12226757 18763835 21086885 22295851 25056181 38452555 45690683 61133785 63797039 103916753 111479255 125280905 130738687 207854869 228453415 318985195 379029467 425955077 519583765 653693435 776741611 1039274345 1766584801 1895147335 2129775385 3221419343 3883708055 6443500939 8832924005 10495592053 13204607387 16107096715 30031941617 32217504695 52477960265 54764128831 66023036935 150159708085 178425064901 273820644155 325363353643 892125324505 930990190127 1626816768215 3033226103317 4654950950635 5531177011931 15166130516585 27655885059655 94030009202827 470150046014135