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73340674020 = 22345107423103
BaseRepresentation
bin100010001001101110…
…0011101111111100100
321000022020102021010000
41010103130131333210
52200200203032040
653405305101300
75204310305025
oct1042334357744
9230266367100
1073340674020
1129115997999
1212269787830
136bba59b243
14379a57cc4c
151d93a4a130
hex111371dfe4

73340674020 has 120 divisors (see below), whose sum is σ = 232223169024. Its totient is φ = 19374686784.

The previous prime is 73340673977. The next prime is 73340674039. The reversal of 73340674020 is 2047604337.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 38212 + ... + 384891.

Almost surely, 273340674020 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 73340674020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116111584512).

73340674020 is an abundant number, since it is smaller than the sum of its proper divisors (158882495004).

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

73340674020 is a wasteful number, since it uses less digits than its factorization.

73340674020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423231 (or 423220 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 73340674020 in words is "seventy-three billion, three hundred forty million, six hundred seventy-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 107 108 135 162 180 214 270 321 324 405 428 535 540 642 810 963 1070 1284 1605 1620 1926 2140 2889 3210 3852 4815 5778 6420 8667 9630 11556 14445 17334 19260 28890 34668 43335 57780 86670 173340 423103 846206 1269309 1692412 2115515 2538618 3807927 4231030 5077236 6346545 7615854 8462060 11423781 12693090 15231708 19039635 22847562 25386180 34271343 38079270 45272021 45695124 57118905 68542686 76158540 90544042 114237810 135816063 137085372 171356715 181088084 226360105 228475620 271632126 342713430 407448189 452720210 543264252 679080315 685426860 814896378 905440420 1222344567 1358160630 1629792756 2037240945 2444689134 2716321260 3667033701 4074481890 4889378268 6111722835 7334067402 8148963780 12223445670 14668134804 18335168505 24446891340 36670337010 73340674020