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270060070272 = 2735330743223
BaseRepresentation
bin1111101110000011010…
…1011010010110000000
3221211001221200000021220
43323200311122112000
513411040334222042
6324021444315040
725340224502436
oct3734065322600
9854057600256
10270060070272
11a4593961a23
124440a6a2a80
131c60b039765
14d0dca92d56
157058e9d8ec
hex3ee0d5a580

270060070272 has 128 divisors (see below), whose sum is σ = 733279599360. Its totient is φ = 88031803392.

The previous prime is 270060070199. The next prime is 270060070277. The reversal of 270060070272 is 272070060072.

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 (270060070277) 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, 6226453 + ... + 6269675.

It is an arithmetic number, because the mean of its divisors is an integer number (5728746870).

Almost surely, 2270060070272 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 270060070272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366639799680).

270060070272 is an abundant number, since it is smaller than the sum of its proper divisors (463219529088).

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

270060070272 is a wasteful number, since it uses less digits than its factorization.

270060070272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43600 (or 43588 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 33.

The spelling of 270060070272 in words is "two hundred seventy billion, sixty million, seventy thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 307 318 384 424 614 636 848 921 1228 1272 1696 1842 2456 2544 3392 3684 4912 5088 6784 7368 9824 10176 14736 16271 19648 20352 29472 32542 39296 43223 48813 58944 65084 86446 97626 117888 129669 130168 172892 195252 259338 260336 345784 390504 518676 520672 691568 781008 1037352 1041344 1383136 1562016 2074704 2082688 2290819 2766272 3124032 4149408 4581638 5532544 6248064 6872457 8298816 9163276 13269461 13744914 16597632 18326552 26538922 27489828 36653104 39808383 53077844 54979656 73306208 79616766 106155688 109959312 146612416 159233532 212311376 219918624 293224832 318467064 424622752 439837248 636934128 703281433 849245504 879674496 1273868256 1406562866 1698491008 2109844299 2547736512 2813125732 4219688598 5095473024 5626251464 8439377196 11252502928 16878754392 22505005856 33757508784 45010011712 67515017568 90020023424 135030035136 270060070272