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66020325504 = 2737112321871
BaseRepresentation
bin111101011111000111…
…100011100010000000
320022102001220000202220
4331133013203202000
52040202200404004
650155044411040
74525021336050
oct753707434200
9208361800686
1066020325504
1125aa9830791
12109660a6a80
1362c1ac1583
1432a4273560
151ab6052dd9
hexf5f1e3880

66020325504 has 128 divisors (see below), whose sum is σ = 200606484480. Its totient is φ = 18845291520.

The previous prime is 66020325493. The next prime is 66020325523. The reversal of 66020325504 is 40552302066.

66020325504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×660203255042 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3007689 + ... + 3029559.

It is an arithmetic number, because the mean of its divisors is an integer number (1567238160).

Almost surely, 266020325504 is an apocalyptic number.

66020325504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66020325504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100303242240).

66020325504 is an abundant number, since it is smaller than the sum of its proper divisors (134586158976).

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

66020325504 is a wasteful number, since it uses less digits than its factorization.

66020325504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23018 (or 23006 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 66020325504 in words is "sixty-six billion, twenty million, three hundred twenty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1123 1344 2246 2688 3369 4492 6738 7861 8984 13476 15722 17968 21871 23583 26952 31444 35936 43742 47166 53904 62888 65613 71872 87484 94332 107808 125776 131226 143744 153097 174968 188664 215616 251552 262452 306194 349936 377328 431232 459291 503104 524904 612388 699872 754656 918582 1006208 1049808 1224776 1399744 1509312 1837164 2099616 2449552 2799488 3018624 3674328 4199232 4899104 7348656 8398464 9798208 14697312 19596416 24561133 29394624 49122266 58789248 73683399 98244532 147366798 171927931 196489064 294733596 343855862 392978128 515783793 589467192 687711724 785956256 1031567586 1178934384 1375423448 1571912512 2063135172 2357868768 2750846896 3143825024 4126270344 4715737536 5501693792 8252540688 9431475072 11003387584 16505081376 22006775168 33010162752 66020325504