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420112514717648 = 24172068174683589
BaseRepresentation
bin101111110000101110001000…
…1001101001001011111010000
32001002111100211111000111021022
41133201130101031021133100
5420031110412231431043
64045301005214015012
7154330061516202104
oct13741342115113720
92032440744014238
10420112514717648
1111195179827a395
123b1507531a7468
1315055595011a9c
1475a57a8a4b904
153388155c43868
hex17e17113497d0

420112514717648 has 40 divisors (see below), whose sum is σ = 861890152676040. Its totient is φ = 197690444779520.

The previous prime is 420112514717647. The next prime is 420112514717773. The reversal of 420112514717648 is 846717415211024.

It can be written as a sum of positive squares in 4 ways, for example, as 17808368704 + 420094706348944 = 133448^2 + 20496212^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 420112514717648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420112514717647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31716563 + ... + 42967026.

It is an arithmetic number, because the mean of its divisors is an integer number (21547253816901).

Almost surely, 2420112514717648 is an apocalyptic number.

It is an amenable number.

420112514717648 is an abundant number, since it is smaller than the sum of its proper divisors (441777637958392).

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

420112514717648 is a wasteful number, since it uses less digits than its factorization.

420112514717648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74704295 (or 74704289 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 53.

The spelling of 420112514717648 in words is "four hundred twenty trillion, one hundred twelve billion, five hundred fourteen million, seven hundred seventeen thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 20681 41362 82724 165448 330896 351577 703154 1406308 2812616 5625232 74683589 149367178 298734356 597468712 1194937424 1269621013 2539242026 5078484052 10156968104 20313936208 1544531304109 3089062608218 6178125216436 12356250432872 24712500865744 26257032169853 52514064339706 105028128679412 210056257358824 420112514717648