Search a number
-
+
19258209408 = 273443113209
BaseRepresentation
bin10001111011111000…
…001111010010000000
31211201010201101212010
4101323320033102000
5303420100200113
612502550132520
71251144036054
oct217370172200
954633641763
1019258209408
118192836849
123895651140
131a7bac59a9
14d0998dc64
1577aa911c3
hex47be0f480

19258209408 has 64 divisors (see below), whose sum is σ = 51270544800. Its totient is φ = 6404855808.

The previous prime is 19258209401. The next prime is 19258209413. The reversal of 19258209408 is 80490285291.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (19258209401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113508 + ... + 226716.

Almost surely, 219258209408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19258209408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25635272400).

19258209408 is an abundant number, since it is smaller than the sum of its proper divisors (32012335392).

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

19258209408 is a wasteful number, since it uses less digits than its factorization.

19258209408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113669 (or 113657 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 19258209408 in words is "nineteen billion, two hundred fifty-eight million, two hundred nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 443 886 1329 1772 2658 3544 5316 7088 10632 14176 21264 28352 42528 56704 85056 113209 170112 226418 339627 452836 679254 905672 1358508 1811344 2717016 3622688 5434032 7245376 10868064 14490752 21736128 43472256 50151587 100303174 150454761 200606348 300909522 401212696 601819044 802425392 1203638088 1604850784 2407276176 3209701568 4814552352 6419403136 9629104704 19258209408