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11433950928 = 2437674877
BaseRepresentation
bin10101010011000010…
…00011111011010000
31002111211222220000000
422221201003323100
5141404042412203
65130325130000
7553225656621
oct125141037320
932454886000
1011433950928
114938192624
122271259900
131102ac534a
147a6791a48
1546dc0c4a3
hex2a9843ed0

11433950928 has 160 divisors (see below), whose sum is σ = 33727662720. Its totient is φ = 3753661824.

The previous prime is 11433950921. The next prime is 11433950947. The reversal of 11433950928 is 82905933411.

It is a happy number.

11433950928 is a `hidden beast` number, since 114 + 3 + 3 + 9 + 509 + 28 = 666.

It is a super-2 number, since 2×114339509282 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11433950921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2342026 + ... + 2346902.

It is an arithmetic number, because the mean of its divisors is an integer number (210797892).

Almost surely, 211433950928 is an apocalyptic number.

11433950928 is a gapful number since it is divisible by the number (18) 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 11433950928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16863831360).

11433950928 is an abundant number, since it is smaller than the sum of its proper divisors (22293711792).

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

11433950928 is an frugal number, since it uses more digits than its factorization.

11433950928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4973 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

It can be divided in two parts, 11433 and 950928, that added together give a square (962361 = 9812).

The spelling of 11433950928 in words is "eleven billion, four hundred thirty-three million, nine hundred fifty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 81 108 134 144 162 201 216 243 268 324 402 432 486 536 603 648 729 804 972 1072 1206 1296 1458 1608 1809 1944 2187 2412 2916 3216 3618 3888 4374 4824 4877 5427 5832 7236 8748 9648 9754 10854 11664 14472 14631 16281 17496 19508 21708 28944 29262 32562 34992 39016 43416 43893 48843 58524 65124 78032 86832 87786 97686 117048 130248 131679 146529 175572 195372 234096 260496 263358 293058 326759 351144 390744 395037 526716 586116 653518 702288 781488 790074 980277 1053432 1172232 1185111 1307036 1580148 1960554 2106864 2344464 2370222 2614072 2940831 3160296 3555333 3921108 4740444 5228144 5881662 6320592 7110666 7842216 8822493 9480888 10665999 11763324 14221332 15684432 17644986 18961776 21331998 23526648 26467479 28442664 35289972 42663996 47053296 52934958 56885328 70579944 79402437 85327992 105869916 141159888 158804874 170655984 211739832 238207311 317609748 423479664 476414622 635219496 714621933 952829244 1270438992 1429243866 1905658488 2858487732 3811316976 5716975464 11433950928