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2984478009280 = 265131121358693
BaseRepresentation
bin101011011011100000110…
…000000110011111000000
3101120022110101220110002221
4223123200300012133000
5342344202332244110
610203014505220424
7425423101340605
oct53334060063700
911508411813087
102984478009280
11a5078a038379
124024b3791714
13188586acc501
14a46416346ac
1552976bc07da
hex2b6e0c067c0

2984478009280 has 112 divisors (see below), whose sum is σ = 7167064237344. Its totient is φ = 1183681474560.

The previous prime is 2984478009209. The next prime is 2984478009283. The reversal of 2984478009280 is 829008744892.

It is a super-2 number, since 2×29844780092802 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2984478009283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50819614 + ... + 50878306.

Almost surely, 22984478009280 is an apocalyptic number.

2984478009280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2984478009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583532118672).

2984478009280 is an abundant number, since it is smaller than the sum of its proper divisors (4182586228064).

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

2984478009280 is a wasteful number, since it uses less digits than its factorization.

2984478009280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60054 (or 60044 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 61.

The spelling of 2984478009280 in words is "two trillion, nine hundred eighty-four billion, four hundred seventy-eight million, nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 131 160 262 320 524 655 1048 1213 1310 2096 2426 2620 4192 4852 5240 6065 8384 9704 10480 12130 19408 20960 24260 38816 41920 48520 58693 77632 97040 117386 158903 194080 234772 293465 317806 388160 469544 586930 635612 794515 939088 1173860 1271224 1589030 1878176 2347720 2542448 3178060 3756352 4695440 5084896 6356120 7688783 9390880 10169792 12712240 15377566 18781760 25424480 30755132 38443915 50848960 61510264 71194609 76887830 123020528 142389218 153775660 246041056 284778436 307551320 355973045 492082112 569556872 615102640 711946090 1139113744 1230205280 1423892180 2278227488 2460410560 2847784360 4556454976 5695568720 9326493779 11391137440 18652987558 22782274880 37305975116 46632468895 74611950232 93264937790 149223900464 186529875580 298447800928 373059751160 596895601856 746119502320 1492239004640 2984478009280