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454031511052 = 227475317413739
BaseRepresentation
bin1101001101101100110…
…00110000111000001100
31121101221020101112002211
412212312120300320030
524414324031323202
6544325035000204
744542216111210
oct6466630607014
91541836345084
10454031511052
1116560aa51369
1273bb2299064
1333a796b3462
1417d920ca940
15bc2518a1d7
hex69b6630e0c

454031511052 has 96 divisors (see below), whose sum is σ = 945676892160. Its totient is φ = 186694260480.

The previous prime is 454031510987. The next prime is 454031511053. The reversal of 454031511052 is 250115130454.

It is a super-2 number, since 2×4540315110522 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (454031511053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121429399 + ... + 121433137.

It is an arithmetic number, because the mean of its divisors is an integer number (9850800960).

Almost surely, 2454031511052 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 454031511052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472838446080).

454031511052 is an abundant number, since it is smaller than the sum of its proper divisors (491645381108).

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

454031511052 is a wasteful number, since it uses less digits than its factorization.

454031511052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5591 (or 5589 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The spelling of 454031511052 in words is "four hundred fifty-four billion, thirty-one million, five hundred eleven thousand, fifty-two".

Divisors: 1 2 4 7 14 28 47 53 94 106 188 212 329 371 658 742 1316 1484 1741 2491 3482 3739 4982 6964 7478 9964 12187 14956 17437 24374 26173 34874 48748 52346 69748 81827 92273 104692 163654 175733 184546 198167 327308 351466 369092 396334 572789 645911 702932 792668 1145578 1230131 1291822 1387169 2291156 2460262 2583644 2774338 4336831 4920524 5548676 6509599 8673662 9313849 13019198 17347324 18627698 26038396 30357817 37255396 45567193 60715634 65196943 91134386 121431268 130393886 182268772 260787772 305951153 345008747 611902306 690017494 1223804612 1380034988 2141658071 2415061229 4283316142 4830122458 8566632284 9660244916 16215411109 32430822218 64861644436 113507877763 227015755526 454031511052