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21070356432 = 24319473791297
BaseRepresentation
bin10011100111111001…
…000001111111010000
32000101102121000020120
4103213321001333100
5321123002401212
613402442510240
71344100034406
oct234771017720
960342530216
1021070356432
118a32737714
124100505380
131caa379938
14103c509476
15834be888c
hex4e7e41fd0

21070356432 has 160 divisors (see below), whose sum is σ = 58715289600. Its totient is φ = 6490036224.

The previous prime is 21070356409. The next prime is 21070356443. The reversal of 21070356432 is 23465307012.

It is a junction number, because it is equal to n+sod(n) for n = 21070356393 and 21070356402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16244808 + ... + 16246104.

It is an arithmetic number, because the mean of its divisors is an integer number (366970560).

Almost surely, 221070356432 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 21070356432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29357644800).

21070356432 is an abundant number, since it is smaller than the sum of its proper divisors (37644933168).

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

21070356432 is a wasteful number, since it uses less digits than its factorization.

21070356432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The spelling of 21070356432 in words is "twenty-one billion, seventy million, three hundred fifty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 47 48 57 76 94 114 141 152 188 228 282 304 376 379 456 564 752 758 893 912 1128 1137 1297 1516 1786 2256 2274 2594 2679 3032 3572 3891 4548 5188 5358 6064 7144 7201 7782 9096 10376 10716 14288 14402 15564 17813 18192 20752 21432 21603 24643 28804 31128 35626 42864 43206 49286 53439 57608 60959 62256 71252 73929 86412 98572 106878 115216 121918 142504 147858 172824 182877 197144 213756 243836 285008 295716 338447 345648 365754 394288 427512 487672 491563 591432 676894 731508 855024 975344 983126 1015341 1158221 1182864 1353788 1463016 1474689 1966252 2030682 2316442 2707576 2926032 2949378 3474663 3932504 4061364 4632884 5415152 5898756 6949326 7865008 8122728 9265768 9339697 11797512 13898652 16245456 18531536 18679394 23103461 23595024 27797304 28019091 37358788 46206922 55594608 56038182 69310383 74717576 92413844 112076364 138620766 149435152 184827688 224152728 277241532 369655376 438965759 448305456 554483064 877931518 1108966128 1316897277 1755863036 2633794554 3511726072 5267589108 7023452144 10535178216 21070356432