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21078933504 = 2163293697
BaseRepresentation
bin10011101000011001…
…110000000000000000
32000102000201202202220
4103220121300000000
5321132201333004
613403350411040
71344232656426
oct235031600000
960360652686
1021078933504
118a37565802
124103360a80
131cac090925
14103d6dd116
1583583edd9
hex4e8670000

21078933504 has 136 divisors (see below), whose sum is σ = 58164066960. Its totient is φ = 6782189568.

The previous prime is 21078933457. The next prime is 21078933563. The reversal of 21078933504 is 40533987012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5699784 + ... + 5703480.

Almost surely, 221078933504 is an apocalyptic number.

21078933504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21078933504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29082033480).

21078933504 is an abundant number, since it is smaller than the sum of its proper divisors (37085133456).

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

21078933504 is an frugal number, since it uses more digits than its factorization.

21078933504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3761 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 21078933504 in words is "twenty-one billion, seventy-eight million, nine hundred thirty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1392 1536 1856 2048 2784 3072 3697 3712 4096 5568 6144 7394 7424 8192 11091 11136 12288 14788 14848 16384 22182 22272 24576 29576 29696 32768 44364 44544 49152 59152 59392 65536 88728 89088 98304 107213 118304 118784 177456 178176 196608 214426 236608 237568 321639 354912 356352 428852 473216 475136 643278 709824 712704 857704 946432 950272 1286556 1419648 1425408 1715408 1892864 1900544 2573112 2839296 2850816 3430816 3785728 5146224 5678592 5701632 6861632 7571456 10292448 11357184 13723264 15142912 20584896 22714368 27446528 30285824 41169792 45428736 54893056 60571648 82339584 90857472 109786112 121143296 164679168 181714944 219572224 242286592 329358336 363429888 439144448 658716672 726859776 878288896 1317433344 1756577792 2634866688 3513155584 5269733376 7026311168 10539466752 21078933504