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3781956384 = 253219691147
BaseRepresentation
bin1110000101101100…
…0001001100100000
3100202120102021211200
43201123001030200
530221140101014
61423140241200
7162502045623
oct34133011440
910676367750
103781956384
1116708a7898
128966a0200
134836ba61b
1427c3d5dba
15172054a09
hexe16c1320

3781956384 has 72 divisors (see below), whose sum is σ = 11321004240. Its totient is φ = 1194300288.

The previous prime is 3781956371. The next prime is 3781956389. The reversal of 3781956384 is 4836591873.

3781956384 is a `hidden beast` number, since 3 + 78 + 1 + 9 + 563 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3781956384.

It is not an unprimeable number, because it can be changed into a prime (3781956389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340102 + ... + 351045.

It is an arithmetic number, because the mean of its divisors is an integer number (157236170).

Almost surely, 23781956384 is an apocalyptic number.

It is an amenable number.

3781956384 is an abundant number, since it is smaller than the sum of its proper divisors (7539047856).

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

3781956384 is a wasteful number, since it uses less digits than its factorization.

3781956384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691182 (or 691171 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 3781956384 is about 61497.6128317189. The cubic root of 3781956384 is about 1558.0169279186.

The spelling of 3781956384 in words is "three billion, seven hundred eighty-one million, nine hundred fifty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 691147 1382294 2073441 2764588 4146882 5529176 6220323 8293764 11058352 12440646 13131793 16587528 22116704 24881292 26263586 33175056 39395379 49762584 52527172 66350112 78790758 99525168 105054344 118186137 157581516 199050336 210108688 236372274 315163032 420217376 472744548 630326064 945489096 1260652128 1890978192 3781956384