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401868683359 = 111315124237681
BaseRepresentation
bin1011101100100010011…
…11010111100001011111
31102102021220211022122121
411312101033113201133
523041011340331414
6504341012323411
741014452306313
oct5662117274137
91372256738577
10401868683359
11145482438910
1265a75013567
132bb85828840
1415644437b43
15a6c09bc724
hex5d913d785f

401868683359 has 32 divisors (see below), whose sum is σ = 475510146048. Its totient is φ = 334817280000.

The previous prime is 401868683357. The next prime is 401868683369. The reversal of 401868683359 is 953386868104.

It is a cyclic number.

It is not a de Polignac number, because 401868683359 - 21 = 401868683357 is a prime.

It is a super-2 number, since 2×4018686833592 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 401868683297 and 401868683306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401868683351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52315999 + ... + 52323679.

It is an arithmetic number, because the mean of its divisors is an integer number (14859692064).

Almost surely, 2401868683359 is an apocalyptic number.

401868683359 is a deficient number, since it is larger than the sum of its proper divisors (73641462689).

401868683359 is a wasteful number, since it uses less digits than its factorization.

401868683359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10279.

The product of its (nonzero) digits is 29859840, while the sum is 61.

The spelling of 401868683359 in words is "four hundred one billion, eight hundred sixty-eight million, six hundred eighty-three thousand, three hundred fifty-nine".

Divisors: 1 11 13 143 151 1661 1963 2423 7681 21593 26653 31499 84491 99853 346489 365873 1098383 1159831 4024603 4756349 12758141 15077803 18611063 52319839 165855833 204721693 241943819 2661382009 2810270513 30912975643 36533516669 401868683359