Search a number
-
+
27076444032 = 273119836521
BaseRepresentation
bin11001001101111000…
…011011111110000000
32120220000002212112110
4121031320123332000
5420423032202112
620234434055320
71645656656031
oct311570337600
976800085473
1027076444032
1110534a46180
1252b7a1a540
132726797521
14144c060a88
15a8713513c
hex64de1bf80

27076444032 has 128 divisors (see below), whose sum is σ = 78552011520. Its totient is φ = 8195379200.

The previous prime is 27076444027. The next prime is 27076444061. The reversal of 27076444032 is 23044467072.

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

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, 4148932 + ... + 4155452.

It is an arithmetic number, because the mean of its divisors is an integer number (613687590).

Almost surely, 227076444032 is an apocalyptic number.

27076444032 is a gapful number since it is divisible by the number (22) 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 27076444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39276005760).

27076444032 is an abundant number, since it is smaller than the sum of its proper divisors (51475567488).

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

27076444032 is a wasteful number, since it uses less digits than its factorization.

27076444032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7532 (or 7520 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 39.

The spelling of 27076444032 in words is "twenty-seven billion, seventy-six million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 983 1056 1408 1966 2112 2949 3932 4224 5898 6521 7864 10813 11796 13042 15728 19563 21626 23592 26084 31456 32439 39126 43252 47184 52168 62912 64878 71731 78252 86504 94368 104336 125824 129756 143462 156504 173008 188736 208672 215193 259512 286924 313008 346016 377472 417344 430386 519024 573848 626016 692032 834688 860772 1038048 1147696 1252032 1384064 1721544 2076096 2295392 2504064 3443088 4152192 4590784 6410143 6886176 9181568 12820286 13772352 19230429 25640572 27544704 38460858 51281144 70511573 76921716 102562288 141023146 153843432 205124576 211534719 282046292 307686864 410249152 423069438 564092584 615373728 820498304 846138876 1128185168 1230747456 1692277752 2256370336 2461494912 3384555504 4512740672 6769111008 9025481344 13538222016 27076444032