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450570460340 = 2257111322506017
BaseRepresentation
bin1101000111010000001…
…01111001110010110100
31121002000000210221002102
412203220011321302310
524340232014212330
6542553400401232
744360361502310
oct6435005716264
91532000727072
10450570460340
111640a4307780
12733a7176218
1333647633360
1417b4458ab40
15bac13c3945
hex68e8179cb4

450570460340 has 96 divisors (see below), whose sum is σ = 1270419704064. Its totient is φ = 129634652160.

The previous prime is 450570460337. The next prime is 450570460387. The reversal of 450570460340 is 43064075054.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 450570460294 and 450570460303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11232989 + ... + 11273028.

It is an arithmetic number, because the mean of its divisors is an integer number (13233538584).

Almost surely, 2450570460340 is an apocalyptic number.

It is an amenable number.

450570460340 is an abundant number, since it is smaller than the sum of its proper divisors (819849243724).

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

450570460340 is a wasteful number, since it uses less digits than its factorization.

450570460340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22506057 (or 22506055 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 38.

The spelling of 450570460340 in words is "four hundred fifty billion, five hundred seventy million, four hundred sixty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 22506017 45012034 90024068 112530085 157542119 225060170 247566187 292578221 315084238 450120340 495132374 585156442 630168476 787710595 990264748 1170312884 1237830935 1462891105 1575421190 1732963309 2048047547 2475661870 2925782210 3150842380 3218360431 3465926618 4096095094 4951323740 5851564420 6436720862 6931853236 8192190188 8664816545 10240237735 12873441724 16091802155 17329633090 20480475470 22528523017 32183604310 34659266180 40960950940 45057046034 64367208620 90114092068 112642615085 225285230170 450570460340