Search a number
-
+
41559292797216 = 2532328166982717
BaseRepresentation
bin10010111001100010001101…
…11000100110000100100000
312110011000210120102022221120
421130301012320212010200
520421401412424002331
6224220024152252240
711516363006116215
oct1134610670460440
9173130716368846
1041559292797216
1112273219376607
1247b25770a1080
131a26041a7955c
14a396a2707b0c
154c10bc6c2796
hex25cc46e26120

41559292797216 has 96 divisors (see below), whose sum is σ = 114241436926848. Its totient is φ = 13203632977920.

The previous prime is 41559292797173. The next prime is 41559292797229. The reversal of 41559292797216 is 61279729295514.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32870911 + ... + 34111806.

It is an arithmetic number, because the mean of its divisors is an integer number (1190014967988).

Almost surely, 241559292797216 is an apocalyptic number.

41559292797216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

41559292797216 is an abundant number, since it is smaller than the sum of its proper divisors (72682144129632).

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

41559292797216 is a wasteful number, since it uses less digits than its factorization.

41559292797216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66983034 (or 66983026 counting only the distinct ones).

The product of its digits is 171460800, while the sum is 69.

The spelling of 41559292797216 in words is "forty-one trillion, five hundred fifty-nine billion, two hundred ninety-two million, seven hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 281 368 552 562 736 843 1104 1124 1686 2208 2248 3372 4496 6463 6744 8992 12926 13488 19389 25852 26976 38778 51704 77556 103408 155112 206816 310224 620448 66982717 133965434 200948151 267930868 401896302 535861736 803792604 1071723472 1540602491 1607585208 2143446944 3081204982 3215170416 4621807473 6162409964 6430340832 9243614946 12324819928 18487229892 18822143477 24649639856 36974459784 37644286954 49299279712 56466430431 73948919568 75288573908 112932860862 147897839136 150577147816 225865721724 301154295632 432909299971 451731443448 602308591264 865818599942 903462886896 1298727899913 1731637199884 1806925773792 2597455799826 3463274399768 5194911599652 6926548799536 10389823199304 13853097599072 20779646398608 41559292797216