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11433501420 = 22351119389759
BaseRepresentation
bin10101010010111110…
…10110001011101100
31002111211011001101120
422221133112023230
5141403434021140
65130311340540
7553222105245
oct125137261354
932454131346
1011433501420
114937a05930
122271081750
131102998873
147a66b5ccc
1546db6e1d0
hex2a97d62ec

11433501420 has 96 divisors (see below), whose sum is σ = 35105495040. Its totient is φ = 2757365760.

The previous prime is 11433501403. The next prime is 11433501433. The reversal of 11433501420 is 2410533411.

It is a happy number.

It is a super-2 number, since 2×114335014202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82501 + ... + 172259.

It is an arithmetic number, because the mean of its divisors is an integer number (365682240).

Almost surely, 211433501420 is an apocalyptic number.

11433501420 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 11433501420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17552747520).

11433501420 is an abundant number, since it is smaller than the sum of its proper divisors (23671993620).

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

11433501420 is a wasteful number, since it uses less digits than its factorization.

11433501420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89975 (or 89973 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 11433501420 in words is "eleven billion, four hundred thirty-three million, five hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 193 220 330 386 579 660 772 965 1158 1930 2123 2316 2895 3860 4246 5790 6369 8492 10615 11580 12738 21230 25476 31845 42460 63690 89759 127380 179518 269277 359036 448795 538554 897590 987349 1077108 1346385 1795180 1974698 2692770 2962047 3949396 4936745 5385540 5924094 9873490 11848188 14810235 17323487 19746980 29620470 34646974 51970461 59240940 69293948 86617435 103940922 173234870 190558357 207881844 259852305 346469740 381116714 519704610 571675071 762233428 952791785 1039409220 1143350142 1905583570 2286700284 2858375355 3811167140 5716750710 11433501420