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8131213524 = 2237833473361
BaseRepresentation
bin1111001001010100…
…00111100011010100
3202222200022110000110
413210222013203110
5113123042313044
63422504043020
7405333113610
oct74452074324
922880273013
108131213524
1134a2949085
1216ab163470
139c7795065
14571ca2340
15328cb86b9
hex1e4a878d4

8131213524 has 96 divisors (see below), whose sum is σ = 22014268416. Its totient is φ = 2287918080.

The previous prime is 8131213463. The next prime is 8131213537. The reversal of 8131213524 is 4253121318.

It is a super-2 number, since 2×81312135242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8131213491 and 8131213500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2417604 + ... + 2420964.

It is an arithmetic number, because the mean of its divisors is an integer number (229315296).

Almost surely, 28131213524 is an apocalyptic number.

8131213524 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8131213524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007134208).

8131213524 is an abundant number, since it is smaller than the sum of its proper divisors (13883054892).

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

8131213524 is a wasteful number, since it uses less digits than its factorization.

8131213524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3803 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 8131213524 is about 90173.2417294621. The cubic root of 8131213524 is about 2010.8752179658.

The spelling of 8131213524 in words is "eight billion, one hundred thirty-one million, two hundred thirteen thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 347 498 581 694 996 1041 1162 1388 1743 2082 2324 2429 3361 3486 4164 4858 6722 6972 7287 9716 10083 13444 14574 20166 23527 28801 29148 40332 47054 57602 70581 86403 94108 115204 141162 172806 201607 278963 282324 345612 403214 557926 604821 806428 836889 1115852 1166267 1209642 1673778 1952741 2332534 2419284 3347556 3498801 3905482 4665068 5858223 6997602 7810964 8163869 11716446 13995204 16327738 23432892 24491607 32655476 48983214 96800161 97966428 193600322 290400483 387200644 580800966 677601127 1161601932 1355202254 2032803381 2710404508 4065606762 8131213524