Search a number
-
+
490727582640 = 243254591148457
BaseRepresentation
bin1110010010000011010…
…01001010101110110000
31201220122122112002212100
413021001221022232300
531020002230121030
61013234231100400
750311454425521
oct7110151125660
91656578462770
10490727582640
1117a130a22059
127b133811700
1337377109599
1419a73978848
15cb71a95360
hex7241a4abb0

490727582640 has 120 divisors (see below), whose sum is σ = 1648396870848. Its totient is φ = 130831303680.

The previous prime is 490727582627. The next prime is 490727582677. The reversal of 490727582640 is 46285727094.

490727582640 is a `hidden beast` number, since 490 + 7 + 2 + 75 + 82 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3231292 + ... + 3379748.

Almost surely, 2490727582640 is an apocalyptic number.

490727582640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490727582640 is an abundant number, since it is smaller than the sum of its proper divisors (1157669288208).

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

490727582640 is a wasteful number, since it uses less digits than its factorization.

490727582640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153067 (or 153058 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 490727582640 in words is "four hundred ninety billion, seven hundred twenty-seven million, five hundred eighty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 4591 9182 13773 18364 22955 27546 36728 41319 45910 55092 68865 73456 82638 91820 110184 137730 148457 165276 183640 206595 220368 275460 296914 330552 367280 413190 445371 550920 593828 661104 742285 826380 890742 1101840 1187656 1336113 1484570 1652760 1781484 2226855 2375312 2672226 2969140 3305520 3562968 4453710 5344452 5938280 6680565 7125936 8907420 10688904 11876560 13361130 17814840 21377808 26722260 35629680 53444520 106889040 681566087 1363132174 2044698261 2726264348 3407830435 4089396522 5452528696 6134094783 6815660870 8178793044 10223491305 10905057392 12268189566 13631321740 16357586088 20446982610 24536379132 27262643480 30670473915 32715172176 40893965220 49072758264 54525286960 61340947830 81787930440 98145516528 122681895660 163575860880 245363791320 490727582640