Search a number
-
+
11904949840 = 245723197967
BaseRepresentation
bin10110001011001011…
…10001111001010000
31010201200021010001011
423011211301321100
5143340131343330
65245152220304
7601005255400
oct130545617120
933650233034
1011904949840
11505a041023
122382b3a694
131179565024
1480d158800
1549a24782a
hex2c5971e50

11904949840 has 120 divisors (see below), whose sum is σ = 33237015552. Its totient is φ = 3949989120.

The previous prime is 11904949831. The next prime is 11904949843. The reversal of 11904949840 is 4894940911.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11904949843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72537 + ... + 170503.

Almost surely, 211904949840 is an apocalyptic number.

11904949840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11904949840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16618507776).

11904949840 is an abundant number, since it is smaller than the sum of its proper divisors (21332065712).

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

11904949840 is a wasteful number, since it uses less digits than its factorization.

11904949840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98025 (or 98012 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

The spelling of 11904949840 in words is "eleven billion, nine hundred four million, nine hundred forty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 49 56 62 70 80 98 112 124 140 155 196 217 245 248 280 310 392 434 490 496 560 620 784 868 980 1085 1240 1519 1736 1960 2170 2480 3038 3472 3920 4340 6076 7595 8680 12152 15190 17360 24304 30380 60760 97967 121520 195934 391868 489835 685769 783736 979670 1371538 1567472 1959340 2743076 3036977 3428845 3918680 4800383 5486152 6073954 6857690 7837360 9600766 10972304 12147908 13715380 15184885 19201532 21258839 24001915 24295816 27430760 30369770 38403064 42517678 48003830 48591632 54861520 60739540 76806128 85035356 96007660 106294195 121479080 148811873 170070712 192015320 212588390 242958160 297623746 340141424 384030640 425176780 595247492 744059365 850353560 1190494984 1488118730 1700707120 2380989968 2976237460 5952474920 11904949840