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56377405480 = 235111079291289
BaseRepresentation
bin110100100000010110…
…101111000000101000
312101112001000221021211
4310200112233000220
51410430103433410
641522135242504
74034041016434
oct644026570050
9171461027254
1056377405480
1121a006371a0
12ab14819434
135416098a36
142a2b7019c4
1516ee6cb68a
hexd205af028

56377405480 has 128 divisors (see below), whose sum is σ = 139933008000. Its totient is φ = 20271677440.

The previous prime is 56377405387. The next prime is 56377405481. The reversal of 56377405480 is 8450477365.

It is a super-4 number, since 4×563774054804 (a number of 44 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (56377405481) 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, 43736676 + ... + 43737964.

It is an arithmetic number, because the mean of its divisors is an integer number (1093226625).

Almost surely, 256377405480 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 56377405480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69966504000).

56377405480 is an abundant number, since it is smaller than the sum of its proper divisors (83555602520).

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

56377405480 is a wasteful number, since it uses less digits than its factorization.

56377405480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 49.

The spelling of 56377405480 in words is "fifty-six billion, three hundred seventy-seven million, four hundred five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 107 110 214 220 428 440 535 856 929 1070 1177 1289 1858 2140 2354 2578 3716 4280 4645 4708 5156 5885 6445 7432 9290 9416 10219 10312 11770 12890 14179 18580 20438 23540 25780 28358 37160 40876 47080 51095 51560 56716 70895 81752 99403 102190 113432 137923 141790 198806 204380 275846 283580 397612 408760 497015 551692 567160 689615 795224 994030 1093433 1103384 1197481 1379230 1517153 1988060 2186866 2394962 2758460 3034306 3976120 4373732 4789924 5467165 5516920 5987405 6068612 7585765 8747464 9579848 10934330 11974810 12137224 13172291 15171530 21868660 23949620 26344582 30343060 43737320 47899240 52689164 60686120 65861455 105378328 128130467 131722910 256260934 263445820 512521868 526891640 640652335 1025043736 1281304670 1409435137 2562609340 2818870274 5125218680 5637740548 7047175685 11275481096 14094351370 28188702740 56377405480