Search a number
-
+
492557492224 = 21378589521
BaseRepresentation
bin1110010101011101011…
…01101110000000000000
31202002101011211010220101
413022232231232000000
531032224204222344
61014140000252144
750405014414060
oct7125655560000
91662334733811
10492557492224
1117a98a955226
127b564611054
13375a926c415
1419ba89d93a0
15cc2c55a9d4
hex72aeb6e000

492557492224 has 56 divisors (see below), whose sum is σ = 1125777111408. Its totient is φ = 211096043520.

The previous prime is 492557492213. The next prime is 492557492239. The reversal of 492557492224 is 422294755294.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×4925574922242 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4237417 + ... + 4352104.

Almost surely, 2492557492224 is an apocalyptic number.

It is an amenable number.

492557492224 is an abundant number, since it is smaller than the sum of its proper divisors (633219619184).

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

492557492224 is an frugal number, since it uses more digits than its factorization.

492557492224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8589554 (or 8589530 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 55.

The spelling of 492557492224 in words is "four hundred ninety-two billion, five hundred fifty-seven million, four hundred ninety-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 4096 7168 8192 14336 28672 57344 8589521 17179042 34358084 60126647 68716168 120253294 137432336 240506588 274864672 481013176 549729344 962026352 1099458688 1924052704 2198917376 3848105408 4397834752 7696210816 8795669504 15392421632 17591339008 30784843264 35182678016 61569686528 70365356032 123139373056 246278746112 492557492224