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5661766128 = 243536313527
BaseRepresentation
bin1010100010111011…
…11011000111110000
3112121120121112000210
411101131323013300
543043403004003
62333451144120
7260206134534
oct52135730760
915546545023
105661766128
112445a12767
121120145040
136c2ca2295
143b9d25bc4
152320c5503
hex15177b1f0

5661766128 has 80 divisors (see below), whose sum is σ = 14930044416. Its totient is φ = 1848188160.

The previous prime is 5661766111. The next prime is 5661766133. The reversal of 5661766128 is 8216671665.

It is a super-2 number, since 2×56617661282 = 64111191376336224768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 1603501 + ... + 1607027.

Almost surely, 25661766128 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 5661766128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7465022208).

5661766128 is an abundant number, since it is smaller than the sum of its proper divisors (9268278288).

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

5661766128 is a wasteful number, since it uses less digits than its factorization.

5661766128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4222 (or 4216 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 5661766128 is about 75244.7083056344. The cubic root of 5661766128 is about 1782.3130020138.

The spelling of 5661766128 in words is "five billion, six hundred sixty-one million, seven hundred sixty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 631 636 848 1262 1272 1893 2524 2544 3527 3786 5048 7054 7572 10096 10581 14108 15144 21162 28216 30288 33443 42324 56432 66886 84648 100329 133772 169296 186931 200658 267544 373862 401316 535088 560793 747724 802632 1121586 1495448 1605264 2225537 2243172 2990896 4451074 4486344 6676611 8902148 8972688 13353222 17804296 26706444 35608592 53412888 106825776 117953461 235906922 353860383 471813844 707720766 943627688 1415441532 1887255376 2830883064 5661766128