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23433201072 = 2433314873593
BaseRepresentation
bin10101110100101110…
…100100010110110000
32020111002200221202000
4111310232210112300
5340442344413242
614433130454000
71456460631321
oct256456442660
966432627660
1023433201072
119a35481886
12465b894300
132295a56768
1411c4256448
15922380a4c
hex574ba45b0

23433201072 has 160 divisors (see below), whose sum is σ = 69593640960. Its totient is φ = 7541475840.

The previous prime is 23433201059. The next prime is 23433201073. The reversal of 23433201072 is 27010233432.

23433201072 is a `hidden beast` number, since 23 + 433 + 201 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×234332010722 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (23433201073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6520108 + ... + 6523700.

It is an arithmetic number, because the mean of its divisors is an integer number (434960256).

Almost surely, 223433201072 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 23433201072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34796820480).

23433201072 is an abundant number, since it is smaller than the sum of its proper divisors (46160439888).

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

23433201072 is a wasteful number, since it uses less digits than its factorization.

23433201072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 23433201072 in words is "twenty-three billion, four hundred thirty-three million, two hundred one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 487 496 558 744 837 974 1116 1461 1488 1674 1948 2232 2922 3348 3593 3896 4383 4464 5844 6696 7186 7792 8766 10779 11688 13149 13392 14372 15097 17532 21558 23376 26298 28744 30194 32337 35064 43116 45291 52596 57488 60388 64674 70128 86232 90582 97011 105192 111383 120776 129348 135873 172464 181164 194022 210384 222766 241552 258696 271746 334149 362328 388044 407619 445532 517392 543492 668298 724656 776088 815238 891064 1002447 1086984 1336596 1552176 1630476 1749791 1782128 2004894 2173968 2673192 3007341 3260952 3499582 4009788 5249373 5346384 6014682 6521904 6999164 8019576 10498746 12029364 13998328 15748119 16039152 20997492 24058728 27996656 31496238 41994984 47244357 48117456 54243521 62992476 83989968 94488714 108487042 125984952 162730563 188977428 216974084 251969904 325461126 377954856 433948168 488191689 650922252 755909712 867896336 976383378 1301844504 1464575067 1952766756 2603689008 2929150134 3905533512 5858300268 7811067024 11716600536 23433201072