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11319807232 = 281931372029
BaseRepresentation
bin10101000101011011…
…01000110100000000
31002012220012210021201
422202231220310000
5141140332312412
65111130430544
7550341526306
oct124255506400
932186183251
1011319807232
114889810798
12223ab92454
1310b526bbb6
1479555c276
15463bb1e57
hex2a2b68d00

11319807232 has 144 divisors (see below), whose sum is σ = 25227865600. Its totient is φ = 5046312960.

The previous prime is 11319807227. The next prime is 11319807253. The reversal of 11319807232 is 23270891311.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 11319807191 and 11319807200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5577994 + ... + 5580022.

Almost surely, 211319807232 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 11319807232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12613932800).

11319807232 is an abundant number, since it is smaller than the sum of its proper divisors (13908058368).

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

11319807232 is a wasteful number, since it uses less digits than its factorization.

11319807232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 11319807232 in words is "eleven billion, three hundred nineteen million, eight hundred seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 31 32 37 38 62 64 74 76 124 128 148 152 248 256 296 304 496 589 592 608 703 992 1147 1178 1184 1216 1406 1984 2029 2294 2356 2368 2432 2812 3968 4058 4588 4712 4736 4864 5624 7936 8116 9176 9424 9472 11248 16232 18352 18848 21793 22496 32464 36704 37696 38551 43586 44992 62899 64928 73408 75073 75392 77102 87172 89984 125798 129856 146816 150146 150784 154204 174344 179968 251596 259712 293632 300292 308408 348688 503192 519424 600584 616816 697376 1006384 1195081 1201168 1233632 1394752 1426387 2012768 2327263 2390162 2402336 2467264 2789504 2852774 4025536 4654526 4780324 4804672 4934528 5579008 5705548 8051072 9309052 9560648 9609344 9869056 11411096 16102144 18618104 19121296 19218688 22822192 37236208 38242592 44217997 45644384 74472416 76485184 88435994 91288768 148944832 152970368 176871988 182577536 297889664 305940736 353743976 365155072 595779328 707487952 1414975904 2829951808 5659903616 11319807232