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21603146345032 = 23737179193330133
BaseRepresentation
bin1001110100101110111111…
…10111010010101001001000
32211111020111102010212121111
410322113133313102221020
510312421220431020112
6113540203132020104
74356530051066350
oct472273767225110
984436442125544
1021603146345032
11697992aa1207a
12250aa02001634
13c092250106a5
14549852767b60
15276e327ba5a7
hex13a5dfdd2a48

21603146345032 has 128 divisors (see below), whose sum is σ = 47835531244800. Its totient is φ = 8953004971008.

The previous prime is 21603146344999. The next prime is 21603146345101. The reversal of 21603146345032 is 23054364130612.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716911438 + ... + 716941570.

It is an arithmetic number, because the mean of its divisors is an integer number (373715087850).

Almost surely, 221603146345032 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 21603146345032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23917765622400).

21603146345032 is an abundant number, since it is smaller than the sum of its proper divisors (26232384899768).

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

21603146345032 is a wasteful number, since it uses less digits than its factorization.

21603146345032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32295 (or 32291 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 21603146345032 in words is "twenty-one trillion, six hundred three billion, one hundred forty-six million, three hundred forty-five thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 179 259 296 358 518 716 1036 1253 1432 1933 2072 2506 3866 5012 6623 7732 10024 13246 13531 15464 26492 27062 30133 46361 52984 54124 60266 71521 92722 108248 120532 143042 185444 210931 241064 286084 346007 370888 421862 500647 572168 692014 843724 1001294 1114921 1384028 1687448 2002588 2229842 2422049 2768056 4005176 4459684 4844098 5393807 7804447 8919368 9688196 10787614 12802259 15608894 19376392 21575228 25604518 31217788 37756649 43150456 51209036 58247089 62435576 75513298 89615813 102418072 116494178 151026596 179231626 199570859 232988356 302053192 358463252 399141718 407729623 465976712 716926504 798283436 815459246 1396996013 1596566872 1630918492 2155142293 2793992026 3261836984 4310284586 5587984052 8620569172 10426228931 11175968104 15085996051 17241138344 20852457862 30171992102 41704915724 60343984204 72983602517 83409831448 120687968408 145967205034 291934410068 385770470447 583868820136 771540940894 1543081881788 2700393293129 3086163763576 5400786586258 10801573172516 21603146345032