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420617718630 = 232543289737517
BaseRepresentation
bin1100001111011101100…
…01010000101101100110
31111012200120102222220100
412013232301100231212
523342411113444010
6521121253244530
742250204421604
oct6075661205546
91435616388810
10420617718630
1115242381158a
1269628033746
1330882ca6755
1416502524874
15ae1b9d22c0
hex61eec50b66

420617718630 has 96 divisors (see below), whose sum is σ = 1119454880544. Its totient is φ = 109515506688.

The previous prime is 420617718629. The next prime is 420617718649. The reversal of 420617718630 is 36817716024.

420617718630 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 1 + 7 + 7 + 1 + 8 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11192632 + ... + 11230148.

It is an arithmetic number, because the mean of its divisors is an integer number (11660988339).

Almost surely, 2420617718630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420617718630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559727440272).

420617718630 is an abundant number, since it is smaller than the sum of its proper divisors (698837161914).

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

420617718630 is a wasteful number, since it uses less digits than its factorization.

420617718630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40470 (or 40467 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 420617718630 in words is "four hundred twenty billion, six hundred seventeen million, seven hundred eighteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 2897 3870 5794 8691 14485 17382 26073 28970 37517 43455 52146 75034 86910 112551 124571 130365 187585 225102 249142 260730 337653 373713 375170 562755 622855 675306 747426 1121139 1125510 1245710 1613231 1688265 1868565 2242278 3226462 3376530 3737130 4839693 5605695 8066155 9679386 11211390 14519079 16132310 24198465 29038158 48396930 72595395 108686749 145190790 217373498 326060247 543433745 652120494 978180741 1086867490 1630301235 1956361482 3260602470 4673530207 4890903705 9347060414 9781807410 14020590621 23367651035 28041181242 42061771863 46735302070 70102953105 84123543726 140205906210 210308859315 420617718630