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4341795552 = 253229641811
BaseRepresentation
bin1000000101100101…
…01000101011100000
3102012120212001210200
410002302220223200
532342444424202
61554455425200
7212410440033
oct40262505340
912176761720
104341795552
111928915296
12a12085200
135426943c3
142d28c701a
151a628ce1c
hex102ca8ae0

4341795552 has 144 divisors (see below), whose sum is σ = 12808439280. Its totient is φ = 1393459200.

The previous prime is 4341795547. The next prime is 4341795569. The reversal of 4341795552 is 2555971434.

4341795552 is a `hidden beast` number, since 4 + 3 + 4 + 1 + 7 + 95 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 4341795498 and 4341795507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5353227 + ... + 5354037.

It is an arithmetic number, because the mean of its divisors is an integer number (88947495).

Almost surely, 24341795552 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 4341795552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6404219640).

4341795552 is an abundant number, since it is smaller than the sum of its proper divisors (8466643728).

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

4341795552 is a wasteful number, since it uses less digits than its factorization.

4341795552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1486 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 4341795552 is about 65892.3026764128. The cubic root of 4341795552 is about 1631.3849686537.

The spelling of 4341795552 in words is "four billion, three hundred forty-one million, seven hundred ninety-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 641 696 811 928 1044 1282 1392 1622 1923 2088 2433 2564 2784 3244 3846 4176 4866 5128 5769 6488 7299 7692 8352 9732 10256 11538 12976 14598 15384 18589 19464 20512 23076 23519 25952 29196 30768 37178 38928 46152 47038 55767 58392 61536 70557 74356 77856 92304 94076 111534 116784 141114 148712 167301 184608 188152 211671 223068 233568 282228 297424 334602 376304 423342 446136 519851 564456 594848 669204 752608 846684 892272 1039702 1128912 1338408 1559553 1693368 1784544 2079404 2257824 2676816 3119106 3386736 4158808 4678659 5353632 6238212 6773472 8317616 9357318 12476424 15075679 16635232 18714636 24952848 30151358 37429272 45227037 49905696 60302716 74858544 90454074 120605432 135681111 149717088 180908148 241210864 271362222 361816296 482421728 542724444 723632592 1085448888 1447265184 2170897776 4341795552