Search a number
-
+
4457978280405 = 3251310771219399
BaseRepresentation
bin100000011011111010000…
…1101100011100111010101
3120210011211011121212202200
41000313310031203213111
51041014414414433110
613251544505555113
7640035600106446
oct100676415434725
916704734555680
104457978280405
11146968857a191
125bbb9baa5a99
13264502083870
14115aa56852cd
157ae678a36c0
hex40df43639d5

4457978280405 has 48 divisors (see below), whose sum is σ = 8399331158400. Its totient is φ = 2174185782144.

The previous prime is 4457978280403. The next prime is 4457978280499. The reversal of 4457978280405 is 5040828797544.

It is a happy number.

4457978280405 is a `hidden beast` number, since 4 + 4 + 5 + 79 + 7 + 82 + 80 + 405 = 666.

It is not a de Polignac number, because 4457978280405 - 21 = 4457978280403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4457978280401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35547105 + ... + 35672294.

It is an arithmetic number, because the mean of its divisors is an integer number (174986065800).

Almost surely, 24457978280405 is an apocalyptic number.

4457978280405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4457978280405 is a deficient number, since it is larger than the sum of its proper divisors (3941352877995).

4457978280405 is a wasteful number, since it uses less digits than its factorization.

4457978280405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71219530 (or 71219527 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 4457978280405 in words is "four trillion, four hundred fifty-seven billion, nine hundred seventy-eight million, two hundred eighty thousand, four hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 107 117 195 321 535 585 963 1391 1605 4173 4815 6955 12519 20865 62595 71219399 213658197 356096995 640974591 925852187 1068290985 2777556561 3204872955 4629260935 7620475693 8332669683 13887782805 22861427079 38102378465 41663348415 68584281237 99066184009 114307135395 297198552027 342921406185 495330920045 891595656081 1485992760135 4457978280405