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115040504704 = 2717251347607
BaseRepresentation
bin110101100100011110…
…0101100101110000000
3101222221101000010221111
41223020330230232000
53341100332122304
6124503205133104
711211545104306
oct1531074545600
9358841003844
10115040504704
1144874402984
121a3669ba194
13ab0486ac78
1457d47ca276
152ed48a0704
hex1ac8f2cb80

115040504704 has 128 divisors (see below), whose sum is σ = 244734981120. Its totient is φ = 53677056000.

The previous prime is 115040504701. The next prime is 115040504707. The reversal of 115040504704 is 407405040511.

It is an interprime number because it is at equal distance from previous prime (115040504701) and next prime (115040504707).

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

It is a super-2 number, since 2×1150405047042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115040504701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189522769 + ... + 189523375.

It is an arithmetic number, because the mean of its divisors is an integer number (1911992040).

Almost surely, 2115040504704 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 115040504704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122367490560).

115040504704 is an abundant number, since it is smaller than the sum of its proper divisors (129694476416).

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

115040504704 is a wasteful number, since it uses less digits than its factorization.

115040504704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The spelling of 115040504704 in words is "one hundred fifteen billion, forty million, five hundred four thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 251 272 347 502 544 607 694 1004 1088 1214 1388 2008 2176 2428 2776 4016 4267 4856 5552 5899 8032 8534 9712 10319 11104 11798 16064 17068 19424 20638 22208 23596 32128 34136 38848 41276 44416 47192 68272 77696 82552 87097 94384 136544 152357 165104 174194 188768 210629 273088 304714 330208 348388 377536 421258 546176 609428 660416 696776 755072 842516 1218856 1320832 1393552 1480649 1685032 2437712 2590069 2787104 2961298 3370064 3580693 4875424 5180138 5574208 5922596 6740128 7161386 9750848 10360276 11148416 11845192 13480256 14322772 19501696 20720552 23690384 26960512 28645544 41441104 47380768 52867879 57291088 82882208 94761536 105735758 114582176 165764416 189523072 211471516 229164352 331528832 422943032 458328704 845886064 898753943 1691772128 1797507886 3383544256 3595015772 6767088512 7190031544 14380063088 28760126176 57520252352 115040504704