Search a number
-
+
45770202760 = 23519431400557
BaseRepresentation
bin101010101000000111…
…011101111010001000
311101010210201012121211
4222220013131322020
51222214132442020
633005422142504
73210141206242
oct525007357210
9141123635554
1045770202760
11184580a4857
128a54421a34
134415660419
142302a7d092
1512cd37b85a
hexaa81dde88

45770202760 has 64 divisors (see below), whose sum is σ = 110924193600. Its totient is φ = 16941125376.

The previous prime is 45770202691. The next prime is 45770202761. The reversal of 45770202760 is 6720207754.

It is a super-2 number, since 2×457702027602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (45770202761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667599 + ... + 732958.

It is an arithmetic number, because the mean of its divisors is an integer number (1733190525).

Almost surely, 245770202760 is an apocalyptic number.

45770202760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45770202760 is an abundant number, since it is smaller than the sum of its proper divisors (65153990840).

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

45770202760 is a wasteful number, since it uses less digits than its factorization.

45770202760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400630 (or 1400626 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 40.

The spelling of 45770202760 in words is "forty-five billion, seven hundred seventy million, two hundred two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 38 40 43 76 86 95 152 172 190 215 344 380 430 760 817 860 1634 1720 3268 4085 6536 8170 16340 32680 1400557 2801114 5602228 7002785 11204456 14005570 26610583 28011140 53221166 56022280 60223951 106442332 120447902 133052915 212884664 240895804 266105830 301119755 481791608 532211660 602239510 1064423320 1144255069 1204479020 2288510138 2408958040 4577020276 5721275345 9154040552 11442550690 22885101380 45770202760