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11530719696 = 24319294310139
BaseRepresentation
bin10101011110100100…
…01101000111010000
31002202121002020210110
422233102031013100
5142103331012241
65144103201320
7555512333406
oct125722150720
932677066713
1011530719696
114987877411
122299746240
131119b77182
147b5581476
15477474816
hex2af48d1d0

11530719696 has 160 divisors (see below), whose sum is σ = 33194304000. Its totient is φ = 3433618944.

The previous prime is 11530719679. The next prime is 11530719709. The reversal of 11530719696 is 69691703511.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1132195 + ... + 1142333.

It is an arithmetic number, because the mean of its divisors is an integer number (207464400).

Almost surely, 211530719696 is an apocalyptic number.

11530719696 is a gapful number since it is divisible by the number (16) 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 11530719696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16597152000).

11530719696 is an abundant number, since it is smaller than the sum of its proper divisors (21663584304).

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

11530719696 is a wasteful number, since it uses less digits than its factorization.

11530719696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10241 (or 10235 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 48.

The spelling of 11530719696 in words is "eleven billion, five hundred thirty million, seven hundred nineteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 38 43 48 57 58 76 86 87 114 116 129 152 172 174 228 232 258 304 344 348 456 464 516 551 688 696 817 912 1032 1102 1247 1392 1634 1653 2064 2204 2451 2494 3268 3306 3741 4408 4902 4988 6536 6612 7482 8816 9804 9976 10139 13072 13224 14964 19608 19952 20278 23693 26448 29928 30417 39216 40556 47386 59856 60834 71079 81112 94772 121668 142158 162224 189544 192641 243336 284316 294031 379088 385282 435977 486672 568632 577923 588062 770564 871954 882093 1137264 1155846 1176124 1307931 1541128 1743908 1764186 2311692 2352248 2615862 3082256 3487816 3528372 4623384 4704496 5231724 5586589 6975632 7056744 8283563 9246768 10463448 11173178 12643333 14113488 16567126 16759767 20926896 22346356 24850689 25286666 33134252 33519534 37929999 44692712 49701378 50573332 66268504 67039068 75859998 89385424 99402756 101146664 132537008 134078136 151719996 198805512 202293328 240223327 268156272 303439992 397611024 480446654 606879984 720669981 960893308 1441339962 1921786616 2882679924 3843573232 5765359848 11530719696