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29898559744 = 2810121072
BaseRepresentation
bin11011110110000101…
…111101000100000000
32212011200102012111121
4123312011331010000
5442213012402434
621422445522024
72105625364444
oct336605750400
985150365447
1029898559744
1111752a59509
125964b73314
132a86368b91
141638ba0824
15b9ec8c7b4
hex6f617d100

29898559744 has 81 divisors (see below), whose sum is σ = 60845674981. Its totient is φ = 14662937600.

The previous prime is 29898559741. The next prime is 29898559793. The reversal of 29898559744 is 44795589892.

The square root of 29898559744 is 172912.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 28726182144 + 1172377600 = 169488^2 + 34240^2 .

It is a Duffinian number.

Its product of digits (261273600) is a multiple of the sum of its prime divisors (210).

It is not an unprimeable number, because it can be changed into a prime (29898559741) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 279425739 + ... + 279425845.

Almost surely, 229898559744 is an apocalyptic number.

29898559744 is the 172912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29898559744

29898559744 is an abundant number, since it is smaller than the sum of its proper divisors (30947115237).

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

29898559744 is an frugal number, since it uses more digits than its factorization.

29898559744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 210 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 70.

The spelling of 29898559744 in words is "twenty-nine billion, eight hundred ninety-eight million, five hundred fifty-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 101 107 128 202 214 256 404 428 808 856 1616 1712 3232 3424 6464 6848 10201 10807 11449 12928 13696 20402 21614 22898 25856 27392 40804 43228 45796 81608 86456 91592 163216 172912 183184 326432 345824 366368 652864 691648 732736 1091507 1156349 1305728 1383296 1465472 2183014 2312698 2611456 2766592 2930944 4366028 4625396 8732056 9250792 17464112 18501584 34928224 37003168 69856448 74006336 116791249 139712896 148012672 233582498 279425792 296025344 467164996 934329992 1868659984 3737319968 7474639936 14949279872 29898559744