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26730156528 = 2432539736107
BaseRepresentation
bin11000111001001111…
…011101000111110000
32112222212111122101100
4120321033131013300
5414220410002103
620140224004400
71634253403335
oct307117350760
975885448340
1026730156528
1110377527259
12521ba60700
13269cb1108a
14141807c98c
15a66a315a3
hex6393dd1f0

26730156528 has 120 divisors (see below), whose sum is σ = 77006665008. Its totient is φ = 8651575296.

The previous prime is 26730156511. The next prime is 26730156539. The reversal of 26730156528 is 82565103762.

26730156528 is a `hidden beast` number, since 2 + 6 + 73 + 0 + 1 + 56 + 528 = 666.

It is a super-2 number, since 2×267301565282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 722251 + ... + 758357.

Almost surely, 226730156528 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 26730156528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38503332504).

26730156528 is an abundant number, since it is smaller than the sum of its proper divisors (50276508480).

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

26730156528 is a wasteful number, since it uses less digits than its factorization.

26730156528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36271 (or 36262 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 26730156528 in words is "twenty-six billion, seven hundred thirty million, one hundred fifty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 97 106 144 159 194 212 291 318 388 424 477 582 636 776 848 873 954 1164 1272 1552 1746 1908 2328 2544 3492 3816 4656 5141 6984 7632 10282 13968 15423 20564 30846 36107 41128 46269 61692 72214 82256 92538 108321 123384 144428 185076 216642 246768 288856 324963 370152 433284 577712 649926 740304 866568 1299852 1733136 1913671 2599704 3502379 3827342 5199408 5741013 7004758 7654684 10507137 11482026 14009516 15309368 17223039 21014274 22964052 28019032 30618736 31521411 34446078 42028548 45928104 56038064 63042822 68892156 84057096 91856208 126085644 137784312 168114192 185626087 252171288 275568624 371252174 504342576 556878261 742504348 1113756522 1485008696 1670634783 2227513044 2970017392 3341269566 4455026088 6682539132 8910052176 13365078264 26730156528