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378333970506 = 23353201765539
BaseRepresentation
bin1011000000101100111…
…01100100000001001010
31100011112202010000221000
411200112131210001022
522144311444024011
6445445413555430
736222316455162
oct5402635440112
91304482100830
10378333970506
111364a57327a8
12613a7345b76
13298a4a4c44b
14144509195a2
159c94789356
hex581676404a

378333970506 has 64 divisors (see below), whose sum is σ = 857042985600. Its totient is φ = 123668633088.

The previous prime is 378333970501. The next prime is 378333970513. The reversal of 378333970506 is 605079333873.

378333970506 is a `hidden beast` number, since 3 + 7 + 8 + 33 + 39 + 70 + 506 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (378333970501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5739885 + ... + 5805423.

It is an arithmetic number, because the mean of its divisors is an integer number (13391296650).

Almost surely, 2378333970506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378333970506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428521492800).

378333970506 is an abundant number, since it is smaller than the sum of its proper divisors (478709015094).

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

378333970506 is a wasteful number, since it uses less digits than its factorization.

378333970506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67620 (or 67614 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 54.

The spelling of 378333970506 in words is "three hundred seventy-eight billion, three hundred thirty-three million, nine hundred seventy thousand, five hundred six".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 954 1431 2017 2862 4034 6051 12102 18153 36306 54459 65539 106901 108918 131078 196617 213802 320703 393234 589851 641406 962109 1179702 1769553 1924218 2886327 3473567 3539106 5772654 6947134 10420701 20841402 31262103 62524206 93786309 132192163 187572618 264384326 396576489 793152978 1189729467 2379458934 3569188401 7006184639 7138376802 14012369278 21018553917 42037107834 63055661751 126111323502 189166985253 378333970506