Search a number
-
+
105060076470 = 232511310330391
BaseRepresentation
bin110000111011000010…
…0011000101110110110
3101001011211001212020100
41201312010120232312
53210130334421340
6120133002014530
710406325626016
oct1416604305666
9331154055210
10105060076470
1140612746488
12184404a7446
139ba3c4402b
1451290bdc46
152aed5ab830
hex1876118bb6

105060076470 has 48 divisors (see below), whose sum is σ = 275573536992. Its totient is φ = 27768088320.

The previous prime is 105060076463. The next prime is 105060076487. The reversal of 105060076470 is 74670060501.

105060076470 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 6 + 0 + 0 + 7 + 647 + 0 = 666.

It is a super-2 number, since 2×1050600764702 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5155026 + ... + 5175365.

It is an arithmetic number, because the mean of its divisors is an integer number (5741115354).

Almost surely, 2105060076470 is an apocalyptic number.

105060076470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105060076470 is an abundant number, since it is smaller than the sum of its proper divisors (170513460522).

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

105060076470 is a wasteful number, since it uses less digits than its factorization.

105060076470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10330517 (or 10330514 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 105060076470 in words is "one hundred five billion, sixty million, seventy-six thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1017 1130 1695 2034 3390 5085 10170 10330391 20660782 30991173 51651955 61982346 92973519 103303910 154955865 185947038 309911730 464867595 929735190 1167334183 2334668366 3502002549 5836670915 7004005098 10506007647 11673341830 17510012745 21012015294 35020025490 52530038235 105060076470