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21060975376 = 2472712732
BaseRepresentation
bin10011100111010101…
…001111101100010000
32000100202221101212001
4103213111033230100
5321113102203001
613401505443344
71343624223400
oct234725175420
960322841761
1021060975376
118a2840a581
1240b9340554
131ca8443a0c
14103b186800
15833e94001
hex4e754fb10

21060975376 has 135 divisors (see below), whose sum is σ = 48814327413. Its totient is φ = 8777099520.

The previous prime is 21060975371. The next prime is 21060975389. The reversal of 21060975376 is 67357906012.

The square root of 21060975376 is 145124.

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., 11955235600 + 9105739776 = 109340^2 + 95424^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21060975371) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 288506476 + ... + 288506548.

Almost surely, 221060975376 is an apocalyptic number.

21060975376 is the 145124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21060975376

21060975376 is an abundant number, since it is smaller than the sum of its proper divisors (27753352037).

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

21060975376 is an frugal number, since it uses more digits than its factorization.

21060975376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 46.

The spelling of 21060975376 in words is "twenty-one billion, sixty million, nine hundred seventy-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 71 73 98 112 142 146 196 284 292 392 497 511 568 584 784 994 1022 1136 1168 1988 2044 3479 3577 3976 4088 5041 5183 5329 6958 7154 7952 8176 10082 10366 10658 13916 14308 20164 20732 21316 27832 28616 35287 36281 37303 40328 41464 42632 55664 57232 70574 72562 74606 80656 82928 85264 141148 145124 149212 247009 253967 261121 282296 290248 298424 367993 378359 494018 507934 522242 564592 580496 596848 735986 756718 988036 1015868 1044484 1471972 1513436 1976072 2031736 2088968 2575951 2648513 2943944 3026872 3952144 4063472 4177936 5151902 5297026 5887888 6053744 10303804 10594052 18031657 18539591 20607608 21188104 26863489 36063314 37079182 41215216 42376208 53726978 72126628 74158364 107453956 144253256 148316728 188044423 214907912 288506512 296633456 376088846 429815824 752177692 1316310961 1504355384 2632621922 3008710768 5265243844 10530487688 21060975376