Search a number
-
+
56462330250456 = 23313375015997511
BaseRepresentation
bin11001101011010001010010…
…01000110100010011011000
321101220202010212121222110120
430311220221020310103120
524400034323021003311
6320030234134113240
714615161115263164
oct1465505110642330
9241822125558416
1056462330250456
1116a995a3502619
1263ba9401ab820
1325674b48553c0
14dd2b11713ca4
1567daac5dd706
hex335a292344d8

56462330250456 has 128 divisors (see below), whose sum is σ = 156127165286400. Its totient is φ = 16902973140480.

The previous prime is 56462330250437. The next prime is 56462330250461. The reversal of 56462330250456 is 65405203326465.

It is a junction number, because it is equal to n+sod(n) for n = 56462330250399 and 56462330250408.

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, 578986741 + ... + 579084251.

It is an arithmetic number, because the mean of its divisors is an integer number (1219743478800).

Almost surely, 256462330250456 is an apocalyptic number.

It is an amenable number.

56462330250456 is an abundant number, since it is smaller than the sum of its proper divisors (99664835035944).

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

56462330250456 is a wasteful number, since it uses less digits than its factorization.

56462330250456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147729 (or 147725 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 51.

The spelling of 56462330250456 in words is "fifty-six trillion, four hundred sixty-two billion, three hundred thirty million, two hundred fifty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 888 962 1443 1924 2886 3848 5772 11544 50159 97511 100318 150477 195022 200636 292533 300954 390044 401272 585066 601908 652067 780088 1170132 1203816 1267643 1304134 1855883 1956201 2340264 2535286 2608268 3607907 3711766 3802929 3912402 5070572 5216536 5567649 7215814 7423532 7605858 7824804 10141144 10823721 11135298 14431628 14847064 15211716 15649608 21647442 22270596 24126479 28863256 30423432 43294884 44541192 46902791 48252958 72379437 86589768 93805582 96505916 140708373 144758874 187611164 193011832 281416746 289517748 375222328 562833492 579035496 1125666984 4891054249 9782108498 14673162747 19564216996 29346325494 39128433992 58692650988 63583705237 117385301976 127167410474 180969007213 190751115711 254334820948 361938014426 381502231422 508669641896 542907021639 723876028852 763004462844 1085814043278 1447752057704 1526008925688 2171628086556 2352597093769 4343256173112 4705194187538 7057791281307 9410388375076 14115582562614 18820776750152 28231165125228 56462330250456