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21353345312 = 2513172473779
BaseRepresentation
bin10011111000110000…
…100011000100100000
32001010011002100000012
4103320300203010200
5322212424022222
613450512144052
71354104304025
oct237060430440
961104070005
1021353345312
119068452422
12417b238028
132023b9c890
141067d3154c
1584e9971e2
hex4f8c23120

21353345312 has 144 divisors (see below), whose sum is σ = 49129234560. Its totient is φ = 9075904512.

The previous prime is 21353345213. The next prime is 21353345371. The reversal of 21353345312 is 21354335312.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5648639 + ... + 5652417.

It is an arithmetic number, because the mean of its divisors is an integer number (341175240).

Almost surely, 221353345312 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 21353345312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24564617280).

21353345312 is an abundant number, since it is smaller than the sum of its proper divisors (27775889248).

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

21353345312 is a wasteful number, since it uses less digits than its factorization.

21353345312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3883 (or 3858 counting only the distinct ones).

The product of its digits is 32400, while the sum is 32.

The spelling of 21353345312 in words is "twenty-one billion, three hundred fifty-three million, three hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 32 34 47 52 68 94 104 136 188 208 221 272 289 376 416 442 544 578 611 752 799 884 1156 1222 1504 1598 1768 2312 2444 3196 3536 3757 3779 4624 4888 6392 7072 7514 7558 9248 9776 10387 12784 13583 15028 15116 19552 20774 25568 27166 30056 30232 41548 49127 54332 60112 60464 64243 83096 98254 108664 120224 120928 128486 166192 176579 177613 196508 217328 256972 332384 353158 355226 393016 434656 513944 706316 710452 786032 835159 1027888 1092131 1412632 1420904 1572064 1670318 2055776 2184262 2308969 2825264 2841808 3019421 3340636 4368524 4617938 5650528 5683616 6038842 6681272 8737048 9235876 12077684 13362544 14197703 17474096 18471752 24155368 26725088 28395406 34948192 36943504 39252473 48310736 51330157 56790812 73887008 78504946 96621472 102660314 113581624 157009892 205320628 227163248 314019784 410641256 454326496 628039568 667292041 821282512 1256079136 1334584082 1642565024 2669168164 5338336328 10676672656 21353345312