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51233223136512 = 2831573191133157
BaseRepresentation
bin10111010011000101010100…
…00100001101010100000000
320201101211220102001120120210
423221202222010031110000
523203401120110332022
6300544115013034120
713535323013214354
oct1351425204152400
9221354812046523
1051233223136512
11153629848a439a
1258b5412925940
132278370082531
14c919b6269464
155dca613e2a0c
hex2e98aa10d500

51233223136512 has 144 divisors (see below), whose sum is σ = 137267626591872. Its totient is φ = 16963520471040.

The previous prime is 51233223136481. The next prime is 51233223136549. The reversal of 51233223136512 is 21563132233215.

It is a super-2 number, since 2×512332231365122 (a number of 28 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 15 ways as a sum of consecutive naturals, for example, 384691438 + ... + 384824594.

It is an arithmetic number, because the mean of its divisors is an integer number (953247406888).

Almost surely, 251233223136512 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 51233223136512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68633813295936).

51233223136512 is an abundant number, since it is smaller than the sum of its proper divisors (86034403455360).

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

51233223136512 is a wasteful number, since it uses less digits than its factorization.

51233223136512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136524 (or 136510 counting only the distinct ones).

The product of its digits is 194400, while the sum is 39.

Adding to 51233223136512 its reverse (21563132233215), we get a palindrome (72796355369727).

The spelling of 51233223136512 in words is "fifty-one trillion, two hundred thirty-three billion, two hundred twenty-three million, one hundred thirty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 256 314 384 471 628 768 942 1256 1884 2512 3191 3768 5024 6382 7536 9573 10048 12764 15072 19146 20096 25528 30144 38292 40192 51056 60288 76584 102112 120576 133157 153168 204224 266314 306336 399471 408448 500987 532628 612672 798942 816896 1001974 1065256 1225344 1502961 1597884 2003948 2130512 2450688 3005922 3195768 4007896 4261024 6011844 6391536 8015792 8522048 12023688 12783072 16031584 17044096 20905649 24047376 25566144 32063168 34088192 41811298 48094752 51132288 62716947 64126336 83622596 96189504 102264576 125433894 128252672 167245192 192379008 250867788 334490384 384758016 424903987 501735576 668980768 849807974 1003471152 1274711961 1337961536 1699615948 2006942304 2549423922 2675923072 3399231896 4013884608 5098847844 5351846144 6798463792 8027769216 10197695688 13596927584 16055538432 20395391376 27193855168 40790782752 54387710336 66709925959 81581565504 108775420672 133419851918 163163131008 200129777877 266839703836 326326262016 400259555754 533679407672 800519111508 1067358815344 1601038223016 2134717630688 3202076446032 4269435261376 6404152892064 8538870522752 12808305784128 17077741045504 25616611568256 51233223136512