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3053544601640 = 235137577979733
BaseRepresentation
bin101100011011110101011…
…100001111100000101000
3101210220201202212212102012
4230123311130033200220
5400012124404223030
610254440134055052
7433416452601311
oct54336534174050
911726652785365
103053544601640
11a7800135a475
12413969aaa488
13191c42a54440
14a7b142b5608
155466a3a6095
hex2c6f570f828

3053544601640 has 128 divisors (see below), whose sum is σ = 7418805478560. Its totient is φ = 1124444934144.

The previous prime is 3053544601607. The next prime is 3053544601693. The reversal of 3053544601640 is 461064453503.

3053544601640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 436183635364 + 2617360966276 = 660442^2 + 1617826^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313726214 + ... + 313735946.

Almost surely, 23053544601640 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 3053544601640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709402739280).

3053544601640 is an abundant number, since it is smaller than the sum of its proper divisors (4365260876920).

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

3053544601640 is a wasteful number, since it uses less digits than its factorization.

3053544601640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11311 (or 11307 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 41.

The spelling of 3053544601640 in words is "three trillion, fifty-three billion, five hundred forty-four million, six hundred one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 757 797 1514 1594 3028 3188 3785 3985 6056 6376 7570 7970 9733 9841 10361 15140 15940 19466 19682 20722 30280 31880 38932 39364 41444 48665 49205 51805 77864 78728 82888 97330 98410 103610 126529 194660 196820 207220 253058 389320 393640 414440 506116 603329 632645 1012232 1206658 1265290 2413316 2530580 3016645 4826632 5061160 6033290 7367881 7757201 7843277 12066580 14735762 15514402 15686554 24133160 29471524 31028804 31373108 36839405 38786005 39216385 58943048 62057608 62746216 73678810 77572010 78432770 95782453 100843613 147357620 155144020 156865540 191564906 201687226 294715240 310288040 313731080 383129812 403374452 478912265 504218065 766259624 806748904 957824530 1008436130 1915649060 2016872260 3831298120 4033744520 5872201157 11744402314 23488804628 29361005785 46977609256 58722011570 76338615041 117444023140 152677230082 234888046280 305354460164 381693075205 610708920328 763386150410 1526772300820 3053544601640