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42648785415 = 3757095501
BaseRepresentation
bin100111101110000100…
…001101001000000111
311002002021012210000000
4213232010031020013
51144321042113130
631331555252343
73036606460155
oct475604151007
9132067183000
1042648785415
11170a61447a5
128322baa0b3
134038a76b02
1420c82ac3d5
151199302260
hex9ee10d207

42648785415 has 64 divisors (see below), whose sum is σ = 76878345600. Its totient is φ = 22709808000.

The previous prime is 42648785407. The next prime is 42648785419. The reversal of 42648785415 is 51458784624.

42648785415 is a `hidden beast` number, since 4 + 26 + 4 + 8 + 78 + 541 + 5 = 666.

It is not a de Polignac number, because 42648785415 - 23 = 42648785407 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42648785419) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7750165 + ... + 7755665.

It is an arithmetic number, because the mean of its divisors is an integer number (1201224150).

Almost surely, 242648785415 is an apocalyptic number.

42648785415 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42648785415 is a deficient number, since it is larger than the sum of its proper divisors (34229560185).

42648785415 is an frugal number, since it uses more digits than its factorization.

42648785415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6236 (or 6218 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 54.

The spelling of 42648785415 in words is "forty-two billion, six hundred forty-eight million, seven hundred eighty-five thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 709 729 1215 2127 2187 3545 3645 5501 6381 10635 10935 16503 19143 27505 31905 49509 57429 82515 95715 148527 172287 247545 287145 445581 516861 742635 861435 1336743 1550583 2227905 2584305 3900209 4010229 6683715 7752915 11700627 12030687 19501045 20051145 35101881 58503135 60153435 105305643 175509405 315916929 526528215 947750787 1579584645 2843252361 4738753935 8529757083 14216261805 42648785415