Search a number
-
+
56462365645416 = 2334295443552011
BaseRepresentation
bin11001101011010001010110…
…01111110101101001101000
321101220202020100020020020000
430311220223033311221220
524400034411101123131
6320030241440503000
714615162025161403
oct1465505317655150
9241822210206200
1056462365645416
1116a99611488355
1263ba95001aa60
1325674bbc98b73
14dd2b162c8d3a
1567dab0780ce6
hex335a2b3f5a68

56462365645416 has 160 divisors (see below), whose sum is σ = 163630598709600. Its totient is φ = 18168424364160.

The previous prime is 56462365645397. The next prime is 56462365645421. The reversal of 56462365645416 is 61454656326465.

56462365645416 is a `hidden beast` number, since 5 + 6 + 4 + 6 + 2 + 3 + 6 + 564 + 54 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 102008851 + ... + 102560861.

It is an arithmetic number, because the mean of its divisors is an integer number (1022691241935).

Almost surely, 256462365645416 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 56462365645416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81815299354800).

56462365645416 is an abundant number, since it is smaller than the sum of its proper divisors (107168233064184).

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

56462365645416 is a wasteful number, since it uses less digits than its factorization.

56462365645416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557501 (or 557488 counting only the distinct ones).

The product of its digits is 373248000, while the sum is 63.

The spelling of 56462365645416 in words is "fifty-six trillion, four hundred sixty-two billion, three hundred sixty-five million, six hundred forty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 324 348 522 648 696 783 1044 1566 2088 2349 3132 4698 5443 6264 9396 10886 16329 18792 21772 32658 43544 48987 65316 97974 130632 146961 157847 195948 293922 315694 391896 440883 473541 552011 587844 631388 881766 947082 1104022 1175688 1262776 1420623 1656033 1763532 1894164 2208044 2841246 3312066 3527064 3788328 4261869 4416088 4968099 5682492 6624132 8523738 9936198 11364984 12785607 13248264 14904297 16008319 17047476 19872396 25571214 29808594 32016638 34094952 39744792 44712891 48024957 51142428 59617188 64033276 89425782 96049914 102284856 119234376 128066552 144074871 178851564 192099828 288149742 357703128 384199656 432224613 576299484 864449226 1152598968 1296673839 1728898452 2593347678 3004595873 3457796904 5186695356 6009191746 9013787619 10373390712 12018383492 18027575238 24036766984 27041362857 36055150476 54082725714 72110300952 81124088571 87133280317 108165451428 162248177142 174266560634 216330902856 243372265713 261399840951 324496354284 348533121268 486744531426 522799681902 648992708568 697066242536 784199522853 973489062852 1045599363804 1568399045706 1946978125704 2091198727608 2352598568559 3136798091412 4705197137118 6273596182824 7057795705677 9410394274236 14115591411354 18820788548472 28231182822708 56462365645416