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420156133266210 = 2351153199931201553
BaseRepresentation
bin101111110001000010011100…
…1000100101101001100100010
32001002122112102100000100012220
41133202010321010231030202
5420032314230104004320
64045333021334531510
7154333164442560135
oct13742047104551442
92032575370010186
10420156133266210
11111969240865530
123b1590a6b06b96
131505972696a033
1475a7945a3621c
15338935a252e40
hex17e213912d322

420156133266210 has 128 divisors (see below), whose sum is σ = 1120857710259456. Its totient is φ = 99929138749440.

The previous prime is 420156133266193. The next prime is 420156133266217. The reversal of 420156133266210 is 12662331651024.

It is not an unprimeable number, because it can be changed into a prime (420156133266217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 349076794 + ... + 350278346.

It is an arithmetic number, because the mean of its divisors is an integer number (8756700861402).

Almost surely, 2420156133266210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420156133266210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560428855129728).

420156133266210 is an abundant number, since it is smaller than the sum of its proper divisors (700701576993246).

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

420156133266210 is a wasteful number, since it uses less digits than its factorization.

420156133266210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221620.

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 420156133266210 in words is "four hundred twenty trillion, one hundred fifty-six billion, one hundred thirty-three million, two hundred sixty-six thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 53 55 66 106 110 159 165 265 318 330 530 583 795 1166 1590 1749 2915 3498 5830 8745 17490 19993 39986 59979 99965 119958 199930 219923 299895 439846 599790 659769 1059629 1099615 1201553 1319538 2119258 2199230 2403106 3178887 3298845 3604659 5298145 6007765 6357774 6597690 7209318 10596290 11655919 12015530 13217083 15894435 18023295 23311838 26434166 31788870 34967757 36046590 39651249 58279595 63682309 66085415 69935514 79302498 116559190 127364618 132170830 174838785 191046927 198256245 318411545 349677570 382093854 396512490 636823090 700505399 955234635 1401010798 1910469270 2101516197 3502526995 4203032394 7005053990 10507580985 21015161970 24022649129 48045298258 72067947387 120113245645 144135894774 240226491290 264249140419 360339736935 528498280838 720679473870 792747421257 1273200403837 1321245702095 1585494842514 2546400807674 2642491404190 3819601211511 3963737106285 6366002019185 7639202423022 7927474212570 12732004038370 14005204442207 19098006057555 28010408884414 38196012115110 42015613326621 70026022211035 84031226653242 140052044422070 210078066633105 420156133266210