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5643274240 = 21151134877
BaseRepresentation
bin1010100000101110…
…11000100000000000
3112120021211000221001
411100113120200000
543024134233430
62331550541344
7256563016402
oct52027304000
915507730831
105643274240
11243653250a
121115b07854
136bc1c9436
143b76b0b72
152306713ca
hex1505d8800

5643274240 has 96 divisors (see below), whose sum is σ = 13663180440. Its totient is φ = 2236874752.

The previous prime is 5643274211. The next prime is 5643274309. The reversal of 5643274240 is 424723465.

It can be written as a sum of positive squares in 4 ways, for example, as 2149991424 + 3493282816 = 46368^2 + 59104^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5643274240.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1154682 + ... + 1159558.

Almost surely, 25643274240 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 5643274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6831590220).

5643274240 is an abundant number, since it is smaller than the sum of its proper divisors (8019906200).

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

5643274240 is a wasteful number, since it uses less digits than its factorization.

5643274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5017 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 37.

The square root of 5643274240 is about 75121.7294795587. The cubic root of 5643274240 is about 1780.3704821568.

The spelling of 5643274240 in words is "five billion, six hundred forty-three million, two hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 226 256 320 452 512 565 640 904 1024 1130 1280 1808 2048 2260 2560 3616 4520 4877 5120 7232 9040 9754 10240 14464 18080 19508 24385 28928 36160 39016 48770 57856 72320 78032 97540 115712 144640 156064 195080 231424 289280 312128 390160 551101 578560 624256 780320 1102202 1157120 1248512 1560640 2204404 2497024 2755505 3121280 4408808 4994048 5511010 6242560 8817616 9988096 11022020 12485120 17635232 22044040 24970240 35270464 44088080 49940480 70540928 88176160 141081856 176352320 282163712 352704640 564327424 705409280 1128654848 1410818560 2821637120 5643274240