Search a number
-
+
16631590644 = 223219312932677
BaseRepresentation
bin11110111110101000…
…11110111011110100
31120221002021100021200
433133110132323310
5233030141400034
611350200412500
71126101121314
oct173724367364
946832240250
1016631590644
117065110239
123281a77130
131750892ac6
14b3abbd444
156751a3a99
hex3df51eef4

16631590644 has 144 divisors (see below), whose sum is σ = 45854215680. Its totient is φ = 5063420160.

The previous prime is 16631590643. The next prime is 16631590667. The reversal of 16631590644 is 44609513661.

16631590644 is a `hidden beast` number, since 1 + 6 + 631 + 5 + 9 + 0 + 6 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 16631590644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16631590643) 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 47 ways as a sum of consecutive naturals, for example, 6211434 + ... + 6214110.

Almost surely, 216631590644 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 16631590644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22927107840).

16631590644 is an abundant number, since it is smaller than the sum of its proper divisors (29222625036).

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

16631590644 is a wasteful number, since it uses less digits than its factorization.

16631590644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 16631590644 in words is "sixteen billion, six hundred thirty-one million, five hundred ninety thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 279 293 342 372 558 586 589 684 879 1116 1172 1178 1758 1767 2356 2637 2677 3516 3534 5274 5301 5354 5567 7068 8031 9083 10548 10602 10708 11134 16062 16701 18166 21204 22268 24093 27249 32124 33402 36332 48186 50103 50863 54498 66804 81747 82987 96372 100206 101726 108996 152589 163494 165974 172577 200412 203452 248961 305178 326988 331948 345154 457767 497922 517731 610356 690308 746883 784361 915534 995844 1035462 1493766 1553193 1568722 1576753 1831068 2070924 2353083 2987532 3106386 3137444 3153506 4706166 4730259 6212772 6307012 7059249 9412332 9460518 14118498 14190777 14902859 18921036 24315191 28236996 28381554 29805718 44708577 48630382 56763108 59611436 72945573 89417154 97260764 134125731 145891146 178834308 218836719 268251462 291782292 437673438 461988629 536502924 875346876 923977258 1385965887 1847954516 2771931774 4157897661 5543863548 8315795322 16631590644