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21253214626032 = 2437322386331517
BaseRepresentation
bin1001101010100011001100…
…10011101110000011110000
32210020210021001212201011110
410311101212103232003300
510241203040421013112
6113111331512513320
74322331320415144
oct465214623560360
983223231781143
1021253214626032
11685448a64a304
1224730226ab840
13bb222862b32c
14536937dcb224
1526cca175313c
hex1354664ee0f0

21253214626032 has 160 divisors (see below), whose sum is σ = 55972385538048. Its totient is φ = 6947744053248.

The previous prime is 21253214626013. The next prime is 21253214626037. The reversal of 21253214626032 is 23062641235212.

It is a super-2 number, since 2×212532146260322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21253214626037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674325538 + ... + 674357054.

Almost surely, 221253214626032 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 21253214626032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27986192769024).

21253214626032 is an abundant number, since it is smaller than the sum of its proper divisors (34719170912016).

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

21253214626032 is a wasteful number, since it uses less digits than its factorization.

21253214626032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32687 (or 32681 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 21253214626032 in words is "twenty-one trillion, two hundred fifty-three billion, two hundred fourteen million, six hundred twenty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 223 292 438 446 584 669 863 876 892 1168 1338 1726 1752 1784 2589 2676 3452 3504 3568 5178 5352 6904 10356 10704 13808 16279 20712 31517 32558 41424 48837 62999 63034 65116 94551 97674 125998 126068 130232 188997 189102 192449 195348 251996 252136 260464 377994 378204 384898 390696 503992 504272 577347 755988 756408 769796 781392 1007984 1154694 1511976 1512816 1539592 2300741 2309388 3023952 3079184 4601482 4618776 6902223 7028291 9202964 9237552 13804446 14048777 14056582 18405928 21084873 27199171 27608892 28097554 28113164 36811856 42146331 42169746 54398342 55217784 56195108 56226328 81597513 84292662 84339492 108796684 110435568 112390216 112452656 163195026 168585324 168678984 217593368 224780432 326390052 337170648 337357968 435186736 513065243 652780104 674341296 1026130486 1305560208 1539195729 1985539483 2052260972 3078391458 3971078966 4104521944 5956618449 6065415133 6156782916 7942157932 8209043888 11913236898 12130830266 12313565832 15884315864 18196245399 23826473796 24261660532 24627131664 31768631728 36392490798 47652947592 48523321064 72784981596 95305895184 97046642128 145569963192 291139926384 442775304709 885550609418 1328325914127 1771101218836 2656651828254 3542202437672 5313303656508 7084404875344 10626607313016 21253214626032