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33798984025 = 528324432
BaseRepresentation
bin11111011110100100…
…111001000101011001
310020020111202021202011
4133132210321011121
51023210014442100
623305501305521
72304366424012
oct373644710531
9106214667664
1033798984025
1113374710a54
1266732652a1
133258464c41
1418c8bd4009
15d2c3e3bba
hex7de939159

33798984025 has 27 divisors (see below), whose sum is σ = 42517748959. Its totient is φ = 26653112720.

The previous prime is 33798984007. The next prime is 33798984041. The reversal of 33798984025 is 52048989733.

The square root of 33798984025 is 183845.

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., 12167634249 + 21631349776 = 110307^2 + 147076^2 .

It is not a de Polignac number, because 33798984025 - 227 = 33664766297 is a prime.

It is a super-2 number, since 2×337989840252 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 76295454 + ... + 76295896.

Almost surely, 233798984025 is an apocalyptic number.

33798984025 is the 183845-th square number.

33798984025 is the 91923-rd centered octagonal number.

It is an amenable number.

33798984025 is a deficient number, since it is larger than the sum of its proper divisors (8718764934).

33798984025 is an frugal number, since it uses more digits than its factorization.

33798984025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 33798984025 in words is "thirty-three billion, seven hundred ninety-eight million, nine hundred eighty-four thousand, twenty-five".

Divisors: 1 5 25 83 415 443 2075 2215 6889 11075 34445 36769 172225 183845 196249 919225 981245 3051827 4906225 15259135 16288667 76295675 81443335 407216675 1351959361 6759796805 33798984025