Search a number
-
+
46245031644 = 22372131959627
BaseRepresentation
bin101011000100011010…
…110010111011011100
311102100220012000101210
4223010122302323130
51224202212003034
633124503304420
73224665166100
oct530432627334
9142326160353
1046245031644
1118681129819
128b6744b110
13448cb41466
142349b61900
151309dc18e9
hexac46b2edc

46245031644 has 72 divisors (see below), whose sum is σ = 125619500160. Its totient is φ = 13202627424.

The previous prime is 46245031631. The next prime is 46245031663. The reversal of 46245031644 is 44613054264.

It is a super-2 number, since 2×462450316442 (a number of 22 digits) contains 22 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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 745759 + ... + 805385.

It is an arithmetic number, because the mean of its divisors is an integer number (1744715280).

Almost surely, 246245031644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46245031644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62809750080).

46245031644 is an abundant number, since it is smaller than the sum of its proper divisors (79374468516).

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

46245031644 is a wasteful number, since it uses less digits than its factorization.

46245031644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60967 (or 60958 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 46245031644 in words is "forty-six billion, two hundred forty-five million, thirty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1319 2638 3957 5276 7914 9233 15828 18466 27699 36932 55398 59627 64631 110796 119254 129262 178881 193893 238508 258524 357762 387786 417389 715524 775572 834778 1252167 1669556 2504334 2921723 5008668 5843446 8765169 11686892 17530338 35060676 78648013 157296026 235944039 314592052 471888078 550536091 943776156 1101072182 1651608273 2202144364 3303216546 3853752637 6606433092 7707505274 11561257911 15415010548 23122515822 46245031644