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23509138032 = 243541914431
BaseRepresentation
bin10101111001010000…
…001111101001110000
32020200101120221200000
4111321100033221300
5341121314404112
614444442230000
71461402243012
oct257120175160
966611527600
1023509138032
119a743283a6
1246811b5300
1322a86c3683
1411d03821b2
15928d807dc
hex57940fa70

23509138032 has 120 divisors (see below), whose sum is σ = 68397288960. Its totient is φ = 7817135040.

The previous prime is 23509138031. The next prime is 23509138073. The reversal of 23509138032 is 23083190532.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23509138031) 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 23 ways as a sum of consecutive naturals, for example, 1621857 + ... + 1636287.

It is an arithmetic number, because the mean of its divisors is an integer number (569977408).

Almost surely, 223509138032 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 23509138032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34198644480).

23509138032 is an abundant number, since it is smaller than the sum of its proper divisors (44888150928).

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

23509138032 is a wasteful number, since it uses less digits than its factorization.

23509138032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14873 (or 14855 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 23509138032 in words is "twenty-three billion, five hundred nine million, one hundred thirty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 419 432 486 648 838 972 1257 1296 1676 1944 2514 3352 3771 3888 5028 6704 7542 10056 11313 14431 15084 20112 22626 28862 30168 33939 43293 45252 57724 60336 67878 86586 90504 101817 115448 129879 135756 173172 181008 203634 230896 259758 271512 346344 389637 407268 519516 543024 692688 779274 814536 1039032 1168911 1558548 1629072 2078064 2337822 3117096 3506733 4675644 6046589 6234192 7013466 9351288 12093178 14026932 18139767 18702576 24186356 28053864 36279534 48372712 54419301 56107728 72559068 96745424 108838602 145118136 163257903 217677204 290236272 326515806 435354408 489773709 653031612 870708816 979547418 1306063224 1469321127 1959094836 2612126448 2938642254 3918189672 5877284508 7836379344 11754569016 23509138032