Search a number
-
+
49581000150 = 23521172741333
BaseRepresentation
bin101110001011010000…
…100000010111010110
311201222101101202212220
4232023100200113112
51303020214001100
634435512523210
73403443355563
oct561320402726
9151871352786
1049581000150
111a033200290
1297386b0506
1348a2008316
142584c2186a
151452bcbaa0
hexb8b4205d6

49581000150 has 96 divisors (see below), whose sum is σ = 134326902528. Its totient is φ = 12002812800.

The previous prime is 49581000143. The next prime is 49581000151. The reversal of 49581000150 is 5100018594.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49581000151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1178884 + ... + 1220216.

It is an arithmetic number, because the mean of its divisors is an integer number (1399238568).

Almost surely, 249581000150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49581000150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67163451264).

49581000150 is an abundant number, since it is smaller than the sum of its proper divisors (84745902378).

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

49581000150 is a wasteful number, since it uses less digits than its factorization.

49581000150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42086 (or 42081 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The spelling of 49581000150 in words is "forty-nine billion, five hundred eighty-one million, one hundred fifty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 727 825 1454 1650 2181 3635 4362 7270 7997 10905 15994 18175 21810 23991 36350 39985 41333 47982 54525 79970 82666 109050 119955 123999 199925 206665 239910 247998 399850 413330 454663 599775 619995 909326 1033325 1199550 1239990 1363989 2066650 2273315 2727978 3099975 4546630 6199950 6819945 11366575 13639890 22733150 30049091 34099725 60098182 68199450 90147273 150245455 180294546 300490910 330540001 450736365 661080002 751227275 901472730 991620003 1502454550 1652700005 1983240006 2253681825 3305400010 4507363650 4958100015 8263500025 9916200030 16527000050 24790500075 49581000150