Search a number
-
+
45740871200427 = 31347379101364997
BaseRepresentation
bin10100110011001111000000…
…11000010010111010101011
312222221210011221220122021120
422121213200120102322223
521443404301011403202
6241141022141510323
712430445300103144
oct1231474030227253
9188853157818246
1045740871200427
111363565a370017
125168a792723a3
131c6a465500110
14b41c27314acb
15544c5971b0bc
hex2999e0612eab

45740871200427 has 64 divisors (see below), whose sum is σ = 67321038919680. Its totient is φ = 27449094081024.

The previous prime is 45740871200413. The next prime is 45740871200429. The reversal of 45740871200427 is 72400217804754.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-45740871200427 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45740871200427.

It is not an unprimeable number, because it can be changed into a prime (45740871200429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 703705693 + ... + 703770689.

It is an arithmetic number, because the mean of its divisors is an integer number (1051891233120).

Almost surely, 245740871200427 is an apocalyptic number.

45740871200427 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

45740871200427 is a deficient number, since it is larger than the sum of its proper divisors (21580167719253).

45740871200427 is a wasteful number, since it uses less digits than its factorization.

45740871200427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66452.

The product of its (nonzero) digits is 3512320, while the sum is 51.

The spelling of 45740871200427 in words is "forty-five trillion, seven hundred forty billion, eight hundred seventy-one million, two hundred thousand, four hundred twenty-seven".

Divisors: 1 3 13 39 47 141 379 611 1013 1137 1833 3039 4927 13169 14781 17813 39507 47611 53439 64997 142833 194991 231569 383927 618943 694707 844961 1151781 1856829 2534883 3054859 4991051 9164577 14973153 18044569 24633863 39713167 54133707 65841961 73901589 119139501 197525883 234579397 320240219 703738191 855945493 960720657 1157791561 2567836479 3094572167 3473374683 9283716501 15051290293 24954103219 40229438171 45153870879 74862309657 120688314513 324403341847 973210025541 1172842851293 3518528553879 15246957066809 45740871200427