Search a number
-
+
21741532002 = 2331931683567
BaseRepresentation
bin10100001111111001…
…010111001101100010
32002010012112021001000
4110033321113031202
5324011313011002
613553220252430
71366526654451
oct241771271542
962105467030
1021741532002
119247589873
124269241116
132086436148
1410a36dcb98
15873ac561c
hex50fe57362

21741532002 has 64 divisors (see below), whose sum is σ = 52498022400. Its totient is φ = 6644261520.

The previous prime is 21741531979. The next prime is 21741532013. The reversal of 21741532002 is 20023514712.

21741532002 is a `hidden beast` number, since 217 + 415 + 32 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 309978 + ... + 373589.

It is an arithmetic number, because the mean of its divisors is an integer number (820281600).

Almost surely, 221741532002 is an apocalyptic number.

21741532002 is an abundant number, since it is smaller than the sum of its proper divisors (30756490398).

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

21741532002 is a wasteful number, since it uses less digits than its factorization.

21741532002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683628 (or 683622 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 21741532002 in words is "twenty-one billion, seven hundred forty-one million, five hundred thirty-two thousand, two".

Divisors: 1 2 3 6 9 18 19 27 31 38 54 57 62 93 114 171 186 279 342 513 558 589 837 1026 1178 1674 1767 3534 5301 10602 15903 31806 683567 1367134 2050701 4101402 6152103 12304206 12987773 18456309 21190577 25975546 36912618 38963319 42381154 63571731 77926638 116889957 127143462 190715193 233779914 350669871 381430386 402620963 572145579 701339742 805241926 1144291158 1207862889 2415725778 3623588667 7247177334 10870766001 21741532002