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21201057976 = 2373197137919
BaseRepresentation
bin10011101111101011…
…100111100010111000
32000201112112100001111
4103233223213202320
5321404432323401
613423432130104
71350245006440
oct235753474270
960645470044
1021201057976
118a9a49871a
124138236934
131ccb47c827
141051a0d120
15841414e51
hex4efae78b8

21201057976 has 128 divisors (see below), whose sum is σ = 47777587200. Its totient is φ = 8629493760.

The previous prime is 21201057961. The next prime is 21201058001. The reversal of 21201057976 is 67975010212.

It is a congruent number.

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, 23069245 + ... + 23070163.

It is an arithmetic number, because the mean of its divisors is an integer number (373262400).

Almost surely, 221201057976 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 21201057976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23888793600).

21201057976 is an abundant number, since it is smaller than the sum of its proper divisors (26576529224).

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

21201057976 is a wasteful number, since it uses less digits than its factorization.

21201057976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The spelling of 21201057976 in words is "twenty-one billion, two hundred one million, fifty-seven thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 31 56 62 97 124 137 194 217 248 274 388 434 548 679 776 868 919 959 1096 1358 1736 1838 1918 2716 3007 3676 3836 4247 5432 6014 6433 7352 7672 8494 12028 12866 13289 16988 21049 24056 25732 26578 28489 29729 33976 42098 51464 53156 56978 59458 84196 89143 93023 106312 113956 118916 125903 168392 178286 186046 199423 227912 237832 251806 356572 372092 398846 411959 503612 624001 713144 744184 797692 823918 881321 1007224 1248002 1595384 1647836 1762642 2496004 2763433 2883713 3295672 3525284 3902993 4992008 5526866 5767426 7050568 7805986 11053732 11534852 12212591 15611972 19344031 22107464 23069704 24425182 27320951 31223944 38688062 48850364 54641902 77376124 85488137 97700728 109283804 154752248 170976274 218567608 341952548 378590321 683905096 757180642 1514361284 2650132247 3028722568 5300264494 10600528988 21201057976