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56077224773080 = 23576131049311453
BaseRepresentation
bin11001100000000011111110…
…00100000000010111011000
321100112221010012201202101211
430300001333010000113120
524322232124020214310
6315133304343152504
714545305622604320
oct1460017704002730
9240487105652354
1056077224773080
11169602434aa555
126358185145734
13253a0a0c52474
14dbc21b75a280
15673a6d621c8a
hex33007f1005d8

56077224773080 has 128 divisors (see below), whose sum is σ = 144571963536000. Its totient is φ = 19176752443392.

The previous prime is 56077224773077. The next prime is 56077224773083. The reversal of 56077224773080 is 8037742277065.

It is an interprime number because it is at equal distance from previous prime (56077224773077) and next prime (56077224773083).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56077224773083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179894634 + ... + 180206086.

It is an arithmetic number, because the mean of its divisors is an integer number (1129468465125).

Almost surely, 256077224773080 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 56077224773080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72285981768000).

56077224773080 is an abundant number, since it is smaller than the sum of its proper divisors (88494738762920).

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

56077224773080 is a wasteful number, since it uses less digits than its factorization.

56077224773080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313133 (or 313129 counting only the distinct ones).

The product of its (nonzero) digits is 27659520, while the sum is 58.

The spelling of 56077224773080 in words is "fifty-six trillion, seventy-seven billion, two hundred twenty-four million, seven hundred seventy-three thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 613 1049 1226 2098 2452 3065 4196 4291 4904 5245 6130 7343 8392 8582 10490 12260 14686 17164 20980 21455 24520 29372 34328 36715 41960 42910 58744 73430 85820 146860 171640 293720 311453 622906 643037 1245812 1286074 1557265 2180171 2491624 2572148 3114530 3215185 4360342 4501259 5144296 6229060 6430370 8720684 9002518 10900855 12458120 12860740 17441368 18005036 21801710 22506295 25721480 36010072 43603420 45012590 87206840 90025180 180050360 190920689 326714197 381841378 653428394 763682756 954603445 1306856788 1336444823 1527365512 1633570985 1909206890 2286999379 2613713576 2672889646 3267141970 3818413780 4573998758 5345779292 6534283940 6682224115 7636827560 9147997516 10691558584 11434996895 13068567880 13364448230 18295995032 22869993790 26728896460 45739987580 53457792920 91479975160 200275802761 400551605522 801103211044 1001379013805 1401930619327 1602206422088 2002758027610 2803861238654 4005516055220 5607722477308 7009653096635 8011032110440 11215444954616 14019306193270 28038612386540 56077224773080