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2148793650 = 233524433593
BaseRepresentation
bin1000000000010011…
…1111110100110010
312112202100000202000
42000010333310302
513400042344100
6553120034430
7104151305343
oct20004776462
95482300660
102148793650
11a02a35523
124bb762a16
13283243143
1416554c0ca
15c89a4900
hex8013fd32

2148793650 has 96 divisors (see below), whose sum is σ = 5936137920. Its totient is φ = 571559040.

The previous prime is 2148793639. The next prime is 2148793651. The reversal of 2148793650 is 563978412.

2148793650 is a `hidden beast` number, since 21 + 487 + 93 + 65 + 0 = 666.

2148793650 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

2148793650 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2148793596 and 2148793605.

It is not an unprimeable number, because it can be changed into a prime (2148793651) 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, 596254 + ... + 599846.

It is an arithmetic number, because the mean of its divisors is an integer number (61834770).

It is a 1-persistent number, because it is pandigital, but 2⋅2148793650 = 4297587300 is not.

Almost surely, 22148793650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148793650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968068960).

2148793650 is an abundant number, since it is smaller than the sum of its proper divisors (3787344270).

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

2148793650 is a wasteful number, since it uses less digits than its factorization.

2148793650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2148793650 is about 46355.0822456395. The cubic root of 2148793650 is about 1290.4214415326.

The spelling of 2148793650 in words is "two billion, one hundred forty-eight million, seven hundred ninety-three thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 443 450 675 886 1329 1350 2215 2658 3593 3987 4430 6645 7186 7974 10779 11075 11961 13290 17965 19935 21558 22150 23922 32337 33225 35930 39870 53895 59805 64674 66450 89825 97011 99675 107790 119610 161685 179650 194022 199350 269475 299025 323370 485055 538950 598050 808425 970110 1591699 1616850 2425275 3183398 4775097 4850550 7958495 9550194 14325291 15916990 23875485 28650582 39792475 42975873 47750970 71626455 79584950 85951746 119377425 143252910 214879365 238754850 358132275 429758730 716264550 1074396825 2148793650