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741898422272 = 2117227192
BaseRepresentation
bin10101100101111001001…
…01111000100000000000
32121220222011202210000102
422302330211320200000
544123401444003042
61324453505541532
7104412635353100
oct12627445704000
92556864683012
10741898422272
11266701355467
12bb9503448a8
1354c6491cb97
1427c9da89200
1514472589b32
hexacbc978800

741898422272 has 108 divisors (see below), whose sum is σ = 1726262880615. Its totient is φ = 317839527936.

The previous prime is 741898422247. The next prime is 741898422313. The reversal of 741898422272 is 272224898147.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 370949211136 + 370949211136 = 609056^2 + 609056^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=609056.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 272855729 + ... + 272858447.

Almost surely, 2741898422272 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 741898422272

741898422272 is an abundant number, since it is smaller than the sum of its proper divisors (984364458343).

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

741898422272 is an frugal number, since it uses more digits than its factorization.

741898422272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5474 (or 2728 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 56.

The spelling of 741898422272 in words is "seven hundred forty-one billion, eight hundred ninety-eight million, four hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2048 2719 3136 3584 5438 6272 7168 10876 12544 14336 19033 21752 25088 38066 43504 50176 76132 87008 100352 133231 152264 174016 266462 304528 348032 532924 609056 696064 1065848 1218112 1392128 2131696 2436224 2784256 4263392 4872448 5568512 7392961 8526784 9744896 14785922 17053568 19489792 29571844 34107136 38979584 51750727 59143688 68214272 103501454 118287376 136428544 207002908 236574752 272857088 362255089 414005816 473149504 724510178 828011632 946299008 1449020356 1656023264 1892598016 2898040712 3312046528 3785196032 5796081424 6624093056 7570392064 11592162848 13248186112 15140784128 23184325696 26496372224 46368651392 52992744448 92737302784 105985488896 185474605568 370949211136 741898422272