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2070295656 = 23311134114713
BaseRepresentation
bin111101101100110…
…0011010001101000
312100021121220201220
41323121203101220
513214443430111
6541233342040
7102206136252
oct17331432150
95307556656
102070295656
1197269a850
12499407920
1326cbba620
14158d56cd2
15c1b4ae06
hex7b663468

2070295656 has 128 divisors (see below), whose sum is σ = 6229319040. Its totient is φ = 564940800.

The previous prime is 2070295631. The next prime is 2070295681. The reversal of 2070295656 is 6565920702.

It is an interprime number because it is at equal distance from previous prime (2070295631) and next prime (2070295681).

It is a super-2 number, since 2×20702956562 = 8572248206504940672, which contains 22 as substring.

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, 133356 + ... + 148068.

It is an arithmetic number, because the mean of its divisors is an integer number (48666555).

Almost surely, 22070295656 is an apocalyptic number.

2070295656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2070295656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114659520).

2070295656 is an abundant number, since it is smaller than the sum of its proper divisors (4159023384).

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

2070295656 is a wasteful number, since it uses less digits than its factorization.

2070295656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14787 (or 14783 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 2070295656 is about 45500.5017115196. The cubic root of 2070295656 is about 1274.5125715438.

The spelling of 2070295656 in words is "two billion, seventy million, two hundred ninety-five thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 41 44 52 66 78 82 88 104 123 132 143 156 164 246 264 286 312 328 429 451 492 533 572 858 902 984 1066 1144 1353 1599 1716 1804 2132 2706 3198 3432 3608 4264 5412 5863 6396 10824 11726 12792 14713 17589 23452 29426 35178 44139 46904 58852 70356 88278 117704 140712 161843 176556 191269 323686 353112 382538 485529 573807 603233 647372 765076 971058 1147614 1206466 1294744 1530152 1809699 1942116 2103959 2295228 2412932 3619398 3884232 4207918 4590456 4825864 6311877 6635563 7238796 7842029 8415836 12623754 13271126 14477592 15684058 16831672 19906689 23526087 25247508 26542252 31368116 39813378 47052174 50495016 53084504 62736232 79626756 86262319 94104348 159253512 172524638 188208696 258786957 345049276 517573914 690098552 1035147828 2070295656