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42292936903204 = 2213238926432
BaseRepresentation
bin10011001110111000101110…
…11110110000101000100100
312112202011110111020101201001
421213130113132300220210
521020411413321400304
6225541035035443044
711623364255122261
oct1147342736605044
9175664414211631
1042292936903204
1112526374341a79
1248b07a2bb6484
131a7a28c562100
14a62dbc008268
154d520a278da4
hex2677177b0a24

42292936903204 has 81 divisors (see below), whose sum is σ = 80475575260563. Its totient is φ = 19439358179904.

The previous prime is 42292936903201. The next prime is 42292936903247. The reversal of 42292936903204 is 40230963929224.

The square root of 42292936903204 is 6503302.

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

42292936903204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16253879192100 + 26039057711104 = 4031610^2 + 5102848^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42292936903201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 65774396107 + ... + 65774396749.

Almost surely, 242292936903204 is an apocalyptic number.

42292936903204 is the 6503302-nd square number.

It is an amenable number.

42292936903204 is a deficient number, since it is larger than the sum of its proper divisors (38182638357359).

42292936903204 is an frugal number, since it uses more digits than its factorization.

42292936903204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 55.

The spelling of 42292936903204 in words is "forty-two trillion, two hundred ninety-two billion, nine hundred thirty-six million, nine hundred three thousand, two hundred four".

Divisors: 1 2 4 13 26 52 169 338 389 643 676 778 1286 1556 2572 5057 8359 10114 16718 20228 33436 65741 108667 131482 151321 217334 250127 262964 302642 413449 434668 500254 605284 826898 1000508 1653796 1967173 3251651 3934346 5374837 6503302 7868692 10749674 13006604 21499348 25573249 42271463 51146498 69872881 84542926 97299403 102292996 139745762 160831661 169085852 194598806 279491524 321663322 389197612 643326644 1264892239 2090811593 2529784478 4181623186 5059568956 8363246372 16443599107 27180550709 32887198214 54361101418 62563516129 65774396428 108722202836 125127032258 250254064516 813325709677 1626651419354 3253302838708 10573234225801 21146468451602 42292936903204