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30960725120 = 275135476803
BaseRepresentation
bin11100110101011001…
…110010110010000000
32221220201001210110222
4130311121302302000
51001401421200440
622120111442212
72144143551503
oct346531626200
987821053428
1030960725120
1112148582036
126000826368
132bc54307c0
1416d9c9113a
15c1314d2b5
hex735672c80

30960725120 has 128 divisors (see below), whose sum is σ = 79866440640. Its totient is φ = 11409076224.

The previous prime is 30960725113. The next prime is 30960725123. The reversal of 30960725120 is 2152706903.

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

It is not an unprimeable number, because it can be changed into a prime (30960725123) 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, 4547639 + ... + 4554441.

Almost surely, 230960725120 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 30960725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39933220320).

30960725120 is an abundant number, since it is smaller than the sum of its proper divisors (48905715520).

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

30960725120 is a wasteful number, since it uses less digits than its factorization.

30960725120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7382 (or 7370 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The spelling of 30960725120 in words is "thirty billion, nine hundred sixty million, seven hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 547 640 832 1040 1094 1664 2080 2188 2735 4160 4376 5470 6803 7111 8320 8752 10940 13606 14222 17504 21880 27212 28444 34015 35008 35555 43760 54424 56888 68030 70016 71110 87520 88439 108848 113776 136060 142220 175040 176878 217696 227552 272120 284440 350080 353756 435392 442195 455104 544240 568880 707512 870784 884390 910208 1088480 1137760 1415024 1768780 2176960 2275520 2830048 3537560 3721241 4353920 4551040 5660096 7075120 7442482 11320192 14150240 14884964 18606205 28300480 29769928 37212410 48376133 56600960 59539856 74424820 96752266 119079712 148849640 193504532 238159424 241880665 297699280 387009064 476318848 483761330 595398560 774018128 967522660 1190797120 1548036256 1935045320 2381594240 3096072512 3870090640 6192145024 7740181280 15480362560 30960725120