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11234913536 = 287114631231
BaseRepresentation
bin10100111011010011…
…10010110100000000
31001222222110202000202
422131221302310000
5141002114213121
65054455104332
7545261121650
oct123551626400
931888422022
1011234913536
1148458a7910
1222166720a8
1310a07b7242
14788180360
1545b4e340b
hex29da72d00

11234913536 has 144 divisors (see below), whose sum is σ = 28042764288. Its totient is φ = 4364236800.

The previous prime is 11234913527. The next prime is 11234913583. The reversal of 11234913536 is 63531943211.

It is a happy number.

It is a super-2 number, since 2×112349135362 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11234913536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9126041 + ... + 9127271.

Almost surely, 211234913536 is an apocalyptic number.

11234913536 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 11234913536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14021382144).

11234913536 is an abundant number, since it is smaller than the sum of its proper divisors (16807850752).

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

11234913536 is a wasteful number, since it uses less digits than its factorization.

11234913536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1714 counting only the distinct ones).

The product of its digits is 58320, while the sum is 38.

The spelling of 11234913536 in words is "eleven billion, two hundred thirty-four million, nine hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 463 616 704 896 926 1231 1232 1408 1792 1852 2462 2464 2816 3241 3704 4924 4928 5093 6482 7408 8617 9848 9856 10186 12964 13541 14816 17234 19696 19712 20372 25928 27082 29632 34468 35651 39392 40744 51856 54164 59264 68936 71302 78784 81488 94787 103712 108328 118528 137872 142604 157568 162976 189574 207424 216656 275744 285208 315136 325952 379148 414848 433312 551488 569953 570416 651904 758296 829696 866624 1102976 1139906 1140832 1303808 1516592 1733248 2205952 2279812 2281664 3033184 3466496 3989671 4559624 4563328 6066368 6269483 7979342 9119248 9126656 12132736 12538966 15958684 18238496 24265472 25077932 31917368 36476992 43886381 50155864 63834736 72953984 87772762 100311728 127669472 145907968 175545524 200623456 255338944 351091048 401246912 510677888 702182096 802493824 1021355776 1404364192 1604987648 2808728384 5617456768 11234913536