Search a number
-
+
56017176108 = 223234114273469
BaseRepresentation
bin110100001010111000…
…100100011000101100
312100120221012101111020
4310022320210120230
51404210344113413
641422310254140
74022105066145
oct641270443054
9170527171436
1056017176108
1121836265573
12aa34057350
13538957076a
1429d5930acc
1516ccc71c23
hexd0ae2462c

56017176108 has 96 divisors (see below), whose sum is σ = 139854435840. Its totient is φ = 17407695360.

The previous prime is 56017176101. The next prime is 56017176133. The reversal of 56017176108 is 80167171065.

It is a happy number.

It is a super-2 number, since 2×560171761082 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56017176108.

It is not an unprimeable number, because it can be changed into a prime (56017176101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16146198 + ... + 16149666.

It is an arithmetic number, because the mean of its divisors is an integer number (1456817040).

Almost surely, 256017176108 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 56017176108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69927217920).

56017176108 is an abundant number, since it is smaller than the sum of its proper divisors (83837259732).

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

56017176108 is a wasteful number, since it uses less digits than its factorization.

56017176108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4967 (or 4965 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

The spelling of 56017176108 in words is "fifty-six billion, seventeen million, one hundred seventy-six thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 23 41 46 69 82 92 123 138 164 246 276 492 943 1427 1886 2829 2854 3469 3772 4281 5658 5708 6938 8562 10407 11316 13876 17124 20814 32821 41628 58507 65642 79787 98463 117014 131284 142229 159574 175521 196926 234028 239361 284458 319148 351042 393852 426687 478722 568916 702084 853374 957444 1345661 1706748 2691322 3271267 4036983 4950263 5382644 6542534 8073966 9813801 9900526 13085068 14850789 16147932 19627602 19801052 29701578 39255204 59403156 113856049 202960783 227712098 341568147 405921566 455424196 608882349 683136294 811843132 1217764698 1366272588 2435529396 4668098009 9336196018 14004294027 18672392036 28008588054 56017176108