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23303433024 = 263429155009
BaseRepresentation
bin10101101100111111…
…100010101101000000
32020011001112001110000
4111230333202231000
5340211134324044
614412213240000
71453323624654
oct255477425500
966131461400
1023303433024
1199791a9163
124624333000
132274bbc731
1411b0d16a64
15915c9ad69
hex56cfe2b40

23303433024 has 140 divisors (see below), whose sum is σ = 71461160100. Its totient is φ = 7499907072.

The previous prime is 23303433007. The next prime is 23303433047. The reversal of 23303433024 is 42033430332.

23303433024 is a `hidden beast` number, since 2 + 3 + 303 + 4 + 330 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14876193024 + 8427240000 = 121968^2 + 91800^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72832 + ... + 227840.

Almost surely, 223303433024 is an apocalyptic number.

23303433024 is a gapful number since it is divisible by the number (24) 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 23303433024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35730580050).

23303433024 is an abundant number, since it is smaller than the sum of its proper divisors (48157727076).

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

23303433024 is a wasteful number, since it uses less digits than its factorization.

23303433024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155062 (or 155043 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 23303433024 its reverse (42033430332), we get a palindrome (65336863356).

The spelling of 23303433024 in words is "twenty-three billion, three hundred three million, four hundred thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 144 162 174 192 216 232 261 288 324 348 432 464 522 576 648 696 783 864 928 1044 1296 1392 1566 1728 1856 2088 2349 2592 2784 3132 4176 4698 5184 5568 6264 8352 9396 12528 16704 18792 25056 37584 50112 75168 150336 155009 310018 465027 620036 930054 1240072 1395081 1860108 2480144 2790162 3720216 4185243 4495261 4960288 5580324 7440432 8370486 8990522 9920576 11160648 12555729 13485783 14880864 16740972 17981044 22321296 25111458 26971566 29761728 33481944 35962088 40457349 44642592 50222916 53943132 66963888 71924176 80914698 89285184 100445832 107886264 121372047 133927776 143848352 161829396 200891664 215772528 242744094 267855552 287696704 323658792 364116141 401783328 431545056 485488188 647317584 728232282 803566656 863090112 970976376 1294635168 1456464564 1941952752 2589270336 2912929128 3883905504 5825858256 7767811008 11651716512 23303433024