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21940719376 = 2419219492
BaseRepresentation
bin10100011011110001…
…001100111100010000
32002122002100000202011
4110123301030330100
5324413311010001
614025053432304
71404466015612
oct243361147420
962562300664
1021940719376
119339a67234
124303a9b694
1320b87975b4
1410c1d4cdb2
1588631dd51
hex51bc4cf10

21940719376 has 45 divisors (see below), whose sum is σ = 44888307861. Its totient is φ = 10387639872.

The previous prime is 21940719373. The next prime is 21940719391. The reversal of 21940719376 is 67391704912.

The square root of 21940719376 is 148124.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17668789776 + 4271929600 = 132924^2 + 65360^2 .

It is not an unprimeable number, because it can be changed into a prime (21940719373) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11256450 + ... + 11258398.

Almost surely, 221940719376 is an apocalyptic number.

21940719376 is the 148124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21940719376

21940719376 is an abundant number, since it is smaller than the sum of its proper divisors (22947588485).

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

21940719376 is an frugal number, since it uses more digits than its factorization.

21940719376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3944 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 49.

Multiplying 21940719376 by its sum of digits (49), we get a square (1075095249424 = 10368682).

The spelling of 21940719376 in words is "twenty-one billion, nine hundred forty million, seven hundred nineteen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 1949 2888 3898 5776 7796 15592 31184 37031 74062 148124 296248 592496 703589 1407178 2814356 3798601 5628712 7597202 11257424 15194404 30388808 60777616 72173419 144346838 288693676 577387352 1154774704 1371294961 2742589922 5485179844 10970359688 21940719376