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420220355004252 = 2232114141992561963
BaseRepresentation
bin101111110001100000010110…
…0111111001100011101011100
32001002212200012001112122211100
41133203000230333030131130
5420034342241340114002
64045422322133353100
7154340630064414045
oct13743005477143534
92032780161478740
10420220355004252
111119934a73068a0
123b16962a798790
13150627bcc4446a
1475aaab907d8cc
15338ad6842b11c
hex17e302cfcc75c

420220355004252 has 72 divisors (see below), whose sum is σ = 1158792713769600. Its totient is φ = 127339144377120.

The previous prime is 420220355004251. The next prime is 420220355004283. The reversal of 420220355004252 is 252400553022024.

420220355004252 is a `hidden beast` number, since 4 + 2 + 0 + 220 + 3 + 5 + 5 + 0 + 0 + 425 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420220355004251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162741823 + ... + 165303785.

It is an arithmetic number, because the mean of its divisors is an integer number (16094343246800).

Almost surely, 2420220355004252 is an apocalyptic number.

It is an amenable number.

420220355004252 is an abundant number, since it is smaller than the sum of its proper divisors (738572358765348).

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

420220355004252 is a wasteful number, since it uses less digits than its factorization.

420220355004252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976183 (or 2976178 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The spelling of 420220355004252 in words is "four hundred twenty trillion, two hundred twenty billion, three hundred fifty-five million, four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 414199 828398 1242597 1656796 2485194 2561963 3727791 4556189 4970388 5123926 7455582 7685889 9112378 10247852 13668567 14911164 15371778 18224756 23057667 27337134 28181593 30743556 41005701 46115334 54674268 56363186 82011402 84544779 92230668 112726372 164022804 169089558 253634337 338179116 507268674 1014537348 1061162512637 2122325025274 3183487537911 4244650050548 6366975075822 9550462613733 11672787639007 12733950151644 19100925227466 23345575278014 35018362917021 38201850454932 46691150556028 70036725834042 105055088751063 140073451668084 210110177502126 420220355004252