Search a number
-
+
46201727154 = 23114160128409
BaseRepresentation
bin101011000001110101…
…100110100010110010
311102020212200220210210
4223001311212202302
51224110120232104
633120315204550
73223631125662
oct530165464262
9142225626723
1046201727154
1118659741490
128b54a46756
134483b8b7bb
1423440cc1a2
1513061ba989
hexac1d668b2

46201727154 has 64 divisors (see below), whose sum is σ = 103437855360. Its totient is φ = 13635840000.

The previous prime is 46201727149. The next prime is 46201727197. The reversal of 46201727154 is 45172710264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1612102 + ... + 1640510.

It is an arithmetic number, because the mean of its divisors is an integer number (1616216490).

Almost surely, 246201727154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46201727154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51718927680).

46201727154 is an abundant number, since it is smaller than the sum of its proper divisors (57236128206).

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

46201727154 is a wasteful number, since it uses less digits than its factorization.

46201727154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29067.

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 46201727154 in words is "forty-six billion, two hundred one million, seven hundred twenty-seven thousand, one hundred fifty-four".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 601 902 1202 1353 1803 2706 3606 6611 13222 19833 24641 28409 39666 49282 56818 73923 85227 147846 170454 271051 312499 542102 624998 813153 937497 1164769 1626306 1874994 2329538 3494307 6988614 12812459 17073809 25624918 34147618 38437377 51221427 76874754 102442854 187811899 375623798 563435697 700026169 1126871394 1400052338 2100078507 4200157014 7700287859 15400575718 23100863577 46201727154