Search a number
-
+
153024318828888 = 233132943973846373
BaseRepresentation
bin100010110010110011000000…
…001010100111000101011000
3202001210222111212220120120220
4202302303000022213011120
5130024122301110011023
61301242222424320040
744142433162511313
oct4262630012470530
9661728455816526
10153024318828888
1144838281709031
12151b517a913020
1367501927562a0
1429b05b902397a
1512a57a8b423e3
hex8b2cc02a7158

153024318828888 has 128 divisors (see below), whose sum is σ = 426292091870400. Its totient is φ = 45450454726656.

The previous prime is 153024318828841. The next prime is 153024318828911. The reversal of 153024318828888 is 888828813420351.

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 31 ways as a sum of consecutive naturals, for example, 37860870 + ... + 41707242.

Almost surely, 2153024318828888 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 153024318828888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213146045935200).

153024318828888 is an abundant number, since it is smaller than the sum of its proper divisors (273267773041512).

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

153024318828888 is a wasteful number, since it uses less digits than its factorization.

153024318828888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850821 (or 3850817 counting only the distinct ones).

The product of its (nonzero) digits is 188743680, while the sum is 69.

The spelling of 153024318828888 in words is "one hundred fifty-three trillion, twenty-four billion, three hundred eighteen million, eight hundred twenty-eight thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 696 754 1131 1508 2262 3016 4397 4524 8794 9048 13191 17588 26382 35176 52764 57161 105528 114322 127513 171483 228644 255026 342966 382539 457288 510052 685932 765078 1020104 1371864 1530156 1657669 3060312 3315338 3846373 4973007 6630676 7692746 9946014 11539119 13261352 15385492 19892028 23078238 30770984 39784056 46156476 50002849 92312952 100005698 111544817 150008547 200011396 223089634 300017094 334634451 400022792 446179268 600034188 669268902 892358536 1200068376 1338537804 1450082621 2677075608 2900165242 4350247863 5800330484 8700495726 11600660968 16912502081 17400991452 33825004162 34801982904 50737506243 67650008324 101475012486 135300016648 202950024972 219862527053 405900049944 439725054106 490462560349 659587581159 879450108212 980925120698 1319175162318 1471387681047 1758900216424 1961850241396 2638350324636 2942775362094 3923700482792 5276700649272 5885550724188 6376013284537 11771101448376 12752026569074 19128039853611 25504053138148 38256079707222 51008106276296 76512159414444 153024318828888