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5602081152 = 27347595261
BaseRepresentation
bin1010011011110100…
…01111100110000000
3112110102022012122010
411031322033212000
542433113044102
62323520012520
7255552622053
oct51572174600
915412265563
105602081152
112415257538
121104161140
136b3805825
143b202aa9a
1522bc35d6c
hex14de8f980

5602081152 has 128 divisors (see below), whose sum is σ = 15457651200. Its totient is φ = 1796311040.

The previous prime is 5602081139. The next prime is 5602081153. The reversal of 5602081152 is 2511802065.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5602081153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1062202 + ... + 1067462.

It is an arithmetic number, because the mean of its divisors is an integer number (120762900).

Almost surely, 25602081152 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 5602081152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7728825600).

5602081152 is an abundant number, since it is smaller than the sum of its proper divisors (9855570048).

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

5602081152 is a wasteful number, since it uses less digits than its factorization.

5602081152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5384 (or 5372 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 5602081152 is about 74847.0517255022. The cubic root of 5602081152 is about 1776.0279599526.

The spelling of 5602081152 in words is "five billion, six hundred two million, eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 59 64 94 96 118 128 141 177 188 192 236 282 354 376 384 472 564 708 752 944 1128 1416 1504 1888 2256 2773 2832 3008 3776 4512 5261 5546 5664 6016 7552 8319 9024 10522 11092 11328 15783 16638 18048 21044 22184 22656 31566 33276 42088 44368 63132 66552 84176 88736 126264 133104 168352 177472 247267 252528 266208 310399 336704 354944 494534 505056 532416 620798 673408 741801 931197 989068 1010112 1064832 1241596 1483602 1862394 1978136 2020224 2483192 2967204 3724788 3956272 4966384 5934408 7449576 7912544 9932768 11868816 14588753 14899152 15825088 19865536 23737632 29177506 29798304 31650176 39731072 43766259 47475264 58355012 59596608 87532518 94950528 116710024 119193216 175065036 233420048 350130072 466840096 700260144 933680192 1400520288 1867360384 2801040576 5602081152