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54642031312 = 241117891571307
BaseRepresentation
bin110010111000111010…
…110011101011010000
312020001002121210110111
4302320322303223100
51343401330000222
641034024211104
73643036413511
oct627072635320
9166032553414
1054642031312
11211a0002970
12a70b609a94
1351ca6b530b
14290504ca08
15164c18b777
hexcb8eb3ad0

54642031312 has 160 divisors (see below), whose sum is σ = 124543992960. Its totient is φ = 22948823040.

The previous prime is 54642031291. The next prime is 54642031313. The reversal of 54642031312 is 21313024645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54642031313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41806563 + ... + 41807869.

It is an arithmetic number, because the mean of its divisors is an integer number (778399956).

Almost surely, 254642031312 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 54642031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62271996480).

54642031312 is an abundant number, since it is smaller than the sum of its proper divisors (69901961648).

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

54642031312 is a wasteful number, since it uses less digits than its factorization.

54642031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 54642031312 its reverse (21313024645), we get a palindrome (75955055957).

The spelling of 54642031312 in words is "fifty-four billion, six hundred forty-two million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 89 136 157 176 178 187 272 314 356 374 628 712 748 979 1256 1307 1424 1496 1513 1727 1958 2512 2614 2669 2992 3026 3454 3916 5228 5338 6052 6908 7832 10456 10676 12104 13816 13973 14377 15664 16643 20912 21352 22219 24208 27632 27946 28754 29359 33286 42704 44438 55892 57508 58718 66572 88876 111784 115016 116323 117436 133144 153703 177752 205199 223568 230032 232646 234872 237541 244409 266288 307406 355504 410398 465292 469744 475082 488818 614812 820796 930584 950164 977636 1229624 1279553 1641592 1861168 1900328 1955272 1977491 2257189 2459248 2559106 2612951 3283184 3488383 3800656 3910544 3954982 4514378 5118212 5225902 6976766 7909964 9028756 10236424 10451804 13953532 15819928 18057512 18262711 20472848 20903608 21752401 27907064 31639856 36115024 36525422 38372213 41807216 43504802 55814128 73050844 76744426 87009604 146101688 153488852 174019208 200889821 292203376 306977704 310466087 348038416 401779642 613955408 620932174 803559284 1241864348 1607118568 2483728696 3214237136 3415126957 4967457392 6830253914 13660507828 27321015656 54642031312