Search a number
-
+
11361899520 = 210325246569
BaseRepresentation
bin10101001010011100…
…01101010000000000
31002022211102022001100
422211032031100000
5141232121241040
65115232534400
7551362360326
oct124516152000
932284368040
1011361899520
114900550304
1222510b1400
1310c0bb8b8a
1479ad97d16
15467728b30
hex2a538d400

11361899520 has 132 divisors (see below), whose sum is σ = 39368845620. Its totient is φ = 3029827584.

The previous prime is 11361899519. The next prime is 11361899533. The reversal of 11361899520 is 2599816311.

11361899520 is a `hidden beast` number, since 1 + 1 + 3 + 618 + 9 + 9 + 5 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4951655424 + 6410244096 = 70368^2 + 80064^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77205 + ... + 169364.

Almost surely, 211361899520 is an apocalyptic number.

11361899520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11361899520 is an abundant number, since it is smaller than the sum of its proper divisors (28006946100).

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

11361899520 is a wasteful number, since it uses less digits than its factorization.

11361899520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246600 (or 246579 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 11361899520 in words is "eleven billion, three hundred sixty-one million, eight hundred ninety-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 46080 246569 493138 739707 986276 1232845 1479414 1972552 2219121 2465690 2958828 3698535 3945104 4438242 4931380 5917656 7397070 7890208 8876484 9862760 11095605 11835312 14794140 15780416 17752968 19725520 22191210 23670624 29588280 31560832 35505936 39451040 44382420 47341248 59176560 63121664 71011872 78902080 88764840 94682496 118353120 126243328 142023744 157804160 177529680 189364992 236706240 252486656 284047488 315608320 355059360 378729984 473412480 568094976 631216640 710118720 757459968 946824960 1136189952 1262433280 1420237440 1893649920 2272379904 2840474880 3787299840 5680949760 11361899520