Search a number
-
+
181520770740 = 223561103481513
BaseRepresentation
bin1010100100001101111…
…0110010011010110100
3122100112111100120111220
42221003132302122310
510433223304130430
6215220044030340
716054153044021
oct2510336623264
9570474316456
10181520770740
116aa89819801
122b21ab323b0
131416aa299aa
148addb88548
154ac5ea7110
hex2a437b26b4

181520770740 has 96 divisors (see below), whose sum is σ = 521606781696. Its totient is φ = 47149655040.

The previous prime is 181520770727. The next prime is 181520770771. The reversal of 181520770740 is 47077025181.

181520770740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 181520770692 and 181520770701.

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 31 ways as a sum of consecutive naturals, for example, 136224 + ... + 617736.

It is an arithmetic number, because the mean of its divisors is an integer number (5433403976).

Almost surely, 2181520770740 is an apocalyptic number.

181520770740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181520770740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260803390848).

181520770740 is an abundant number, since it is smaller than the sum of its proper divisors (340086010956).

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

181520770740 is a wasteful number, since it uses less digits than its factorization.

181520770740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481689 (or 481687 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 42.

The spelling of 181520770740 in words is "one hundred eighty-one billion, five hundred twenty million, seven hundred seventy thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 103 122 183 206 244 305 309 366 412 515 610 618 732 915 1030 1220 1236 1545 1830 2060 3090 3660 6180 6283 12566 18849 25132 31415 37698 62830 75396 94245 125660 188490 376980 481513 963026 1444539 1926052 2407565 2889078 4815130 5778156 7222695 9630260 14445390 28890780 29372293 49595839 58744586 88116879 99191678 117489172 146861465 148787517 176233758 198383356 247979195 293722930 297575034 352467516 440584395 495958390 587445860 595150068 743937585 881168790 991916780 1487875170 1762337580 2975750340 3025346179 6050692358 9076038537 12101384716 15126730895 18152077074 30253461790 36304154148 45380192685 60506923580 90760385370 181520770740