Search a number
-
+
61642342500030 = 23254397349212297
BaseRepresentation
bin11100000010000001110011…
…11011011000011010111110
322002020221122211112212101100
432001000321323120122332
531034422004140000110
6335034033505553530
715661340466024435
oct1601007173303276
9262227584485340
1061642342500030
1118706409368576
126ab68479458a6
132851b03c5c676
14113171076411c
1571d6d3637bc0
hex381039ed86be

61642342500030 has 96 divisors (see below), whose sum is σ = 160657785288000. Its totient is φ = 16398204996096.

The previous prime is 61642342500023. The next prime is 61642342500043. The reversal of 61642342500030 is 3000524324616.

61642342500030 is a `hidden beast` number, since 6 + 1 + 64 + 23 + 42 + 500 + 0 + 30 = 666.

61642342500030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×616423425000304 (a number of 56 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 290252842 + ... + 290465138.

It is an arithmetic number, because the mean of its divisors is an integer number (1673518596750).

Almost surely, 261642342500030 is an apocalyptic number.

61642342500030 is an abundant number, since it is smaller than the sum of its proper divisors (99015442787970).

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

61642342500030 is a wasteful number, since it uses less digits than its factorization.

61642342500030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220098 (or 220095 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 61642342500030 its reverse (3000524324616), we get a palindrome (64642866824646).

The spelling of 61642342500030 in words is "sixty-one trillion, six hundred forty-two billion, three hundred forty-two million, five hundred thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 439 878 1317 2195 2634 3951 4390 6585 7349 7902 13170 14698 19755 22047 36745 39510 44094 66141 73490 110235 132282 212297 220470 330705 424594 636891 661410 1061485 1273782 1910673 2122970 3184455 3226211 3821346 6368910 6452422 9553365 9678633 16131055 19106730 19357266 29035899 32262110 48393165 58071798 93198383 96786330 145179495 186396766 279595149 290358990 465991915 559190298 838785447 931983830 1397975745 1560170653 1677570894 2795951490 3120341306 4193927235 4680511959 7800853265 8387854470 9361023918 14041535877 15601706530 23402559795 28083071754 46805119590 70207679385 140415358770 684914916667 1369829833334 2054744750001 3424574583335 4109489500002 6164234250003 6849149166670 10273723750005 12328468500006 20547447500010 30821171250015 61642342500030