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2428789419120 = 243529418511317
BaseRepresentation
bin100011010101111111001…
…000010110110001110000
322121012010111210020120010
4203111333020112301300
5304243130042402440
65055434230214520
7340321444300431
oct43257710266160
98535114706503
102428789419120
11857053343949
123328707b4440
1314805950a24c
14857a83b5488
15432a20c4580
hex2357f216c70

2428789419120 has 160 divisors (see below), whose sum is σ = 7978849945920. Its totient is φ = 610091130880.

The previous prime is 2428789419107. The next prime is 2428789419131. The reversal of 2428789419120 is 219149878242.

2428789419120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3970299 + ... + 4541018.

It is an arithmetic number, because the mean of its divisors is an integer number (49867812162).

Almost surely, 22428789419120 is an apocalyptic number.

2428789419120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2428789419120 is an abundant number, since it is smaller than the sum of its proper divisors (5550060526800).

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

2428789419120 is a wasteful number, since it uses less digits than its factorization.

2428789419120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8511403 (or 8511397 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 2428789419120 in words is "two trillion, four hundred twenty-eight billion, seven hundred eighty-nine million, four hundred nineteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 41 48 58 60 80 82 87 116 120 123 145 164 174 205 232 240 246 290 328 348 410 435 464 492 580 615 656 696 820 870 984 1160 1189 1230 1392 1640 1740 1968 2320 2378 2460 3280 3480 3567 4756 4920 5945 6960 7134 9512 9840 11890 14268 17835 19024 23780 28536 35670 47560 57072 71340 95120 142680 285360 8511317 17022634 25533951 34045268 42556585 51067902 68090536 85113170 102135804 127669755 136181072 170226340 204271608 246828193 255339510 340452680 348963997 408543216 493656386 510679020 680905360 697927994 740484579 987312772 1021358040 1046891991 1234140965 1395855988 1480969158 1744819985 1974625544 2042716080 2093783982 2468281930 2791711976 2961938316 3489639970 3702422895 3949251088 4187567964 4936563860 5234459955 5583423952 5923876632 6979279940 7404845790 8375135928 9873127720 10119955913 10468919910 11847753264 13958559880 14809691580 16750271856 19746255440 20239911826 20937839820 27917119760 29619383160 30359867739 40479823652 41875679640 50599779565 59238766320 60719735478 80959647304 83751359280 101199559130 121439470956 151799338695 161919294608 202399118260 242878941912 303598677390 404798236520 485757883824 607197354780 809596473040 1214394709560 2428789419120