Search a number
-
+
484211152124 = 2272343149117353
BaseRepresentation
bin1110000101111010011…
…10111101010011111100
31201021211111201010200222
413002331032331103330
530413131023331444
61010235445240512
746661126612030
oct7027516752374
91637744633628
10484211152124
11177397632397
1279a15403138
1336879054c3b
14196163381c0
15c8de94aeee
hex70bd3bd4fc

484211152124 has 96 divisors (see below), whose sum is σ = 1040976921600. Its totient is φ = 192577448448.

The previous prime is 484211152109. The next prime is 484211152129. The reversal of 484211152124 is 421251112484.

It is a super-2 number, since 2×4842111521242 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484211152129) 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, 4067432 + ... + 4184784.

It is an arithmetic number, because the mean of its divisors is an integer number (10843509600).

Almost surely, 2484211152124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484211152124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520488460800).

484211152124 is an abundant number, since it is smaller than the sum of its proper divisors (556765769476).

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

484211152124 is a wasteful number, since it uses less digits than its factorization.

484211152124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117579 (or 117577 counting only the distinct ones).

The product of its digits is 20480, while the sum is 35.

The spelling of 484211152124 in words is "four hundred eighty-four billion, two hundred eleven million, one hundred fifty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 43 46 86 92 149 161 172 298 301 322 596 602 644 989 1043 1204 1978 2086 3427 3956 4172 6407 6854 6923 12814 13708 13846 23989 25628 27692 44849 47978 89698 95956 117353 147361 179396 234706 294722 469412 589444 821471 1031527 1642942 2063054 2699119 3285884 4126108 5046179 5398238 10092358 10796476 17485597 18893833 20184716 34971194 35323253 37787666 69942388 70646506 75575332 116062117 122399179 141293012 232124234 244798358 402168731 464248468 489596716 751880671 804337462 812434819 1503761342 1608674924 1624869638 2815181117 3007522684 3249739276 5263164697 5630362234 10526329394 11260724468 17293255433 21052658788 34586510866 69173021732 121052788031 242105576062 484211152124