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54759834480 = 24351332215449
BaseRepresentation
bin110010111111111100…
…001100001101110000
312020100022021211000210
4302333330030031300
51344122004200410
641053433144120
73645666625131
oct627774141560
9166308254023
1054759834480
112125055415a
12a742b5b040
135218c20330
142916955c88
1516576ab220
hexcbff0c370

54759834480 has 160 divisors (see below), whose sum is σ = 182903918400. Its totient is φ = 13472686080.

The previous prime is 54759834449. The next prime is 54759834497. The reversal of 54759834480 is 8443895745.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 54759834480.

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, 10046796 + ... + 10052244.

It is an arithmetic number, because the mean of its divisors is an integer number (1143149490).

Almost surely, 254759834480 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 54759834480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91451959200).

54759834480 is an abundant number, since it is smaller than the sum of its proper divisors (128144083920).

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

54759834480 is a wasteful number, since it uses less digits than its factorization.

54759834480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8699 (or 8693 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 54759834480 in words is "fifty-four billion, seven hundred fifty-nine million, eight hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 3221 5449 6442 9663 10898 12884 16105 16347 19326 21796 25768 27245 32210 32694 38652 41873 43592 48315 51536 54490 64420 65388 70837 77304 81735 83746 87184 96630 108980 125619 128840 130776 141674 154608 163470 167492 193260 209365 212511 217960 251238 257680 261552 283348 326940 334984 354185 386520 418730 425022 435920 502476 566696 628095 653880 669968 708370 773040 837460 850044 1004952 1062555 1133392 1256190 1307760 1416740 1674920 1700088 2009904 2125110 2512380 2833480 3349840 3400176 4250220 5024760 5666960 8500440 10049520 17000880 17551229 35102458 52653687 70204916 87756145 105307374 140409832 175512290 210614748 228165977 263268435 280819664 351024580 421229496 456331954 526536870 684497931 702049160 842458992 912663908 1053073740 1140829885 1368995862 1404098320 1825327816 2106147480 2281659770 2737991724 3422489655 3650655632 4212294960 4563319540 5475983448 6844979310 9126639080 10951966896 13689958620 18253278160 27379917240 54759834480