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6945401748 = 22317229531303
BaseRepresentation
bin1100111011111101…
…00110101110010100
3122221000222222001210
412131332212232110
5103211010323443
63105104021420
7334053640455
oct63576465624
918830888053
106945401748
112a4455314a
12141a001870
13868bca89c
1449c5c712c
152a9b31c33
hex19dfa6b94

6945401748 has 144 divisors (see below), whose sum is σ = 18158878080. Its totient is φ = 2062534656.

The previous prime is 6945401699. The next prime is 6945401791. The reversal of 6945401748 is 8471045496.

It is a super-2 number, since 2×69454017482 = 96477210882242911008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6945401697 and 6945401706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5329665 + ... + 5330967.

It is an arithmetic number, because the mean of its divisors is an integer number (126103320).

Almost surely, 26945401748 is an apocalyptic number.

6945401748 is a gapful number since it is divisible by the number (68) 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 6945401748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9079439040).

6945401748 is an abundant number, since it is smaller than the sum of its proper divisors (11213476332).

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

6945401748 is a wasteful number, since it uses less digits than its factorization.

6945401748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 6945401748 is about 83339.0769567314. The cubic root of 6945401748 is about 1907.9447340153.

The spelling of 6945401748 in words is "six billion, nine hundred forty-five million, four hundred one thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 17 29 34 51 53 58 68 87 102 106 116 159 174 204 212 289 318 348 493 578 636 867 901 986 1156 1303 1479 1537 1734 1802 1972 2606 2703 2958 3074 3468 3604 3909 4611 5212 5406 5916 6148 7818 8381 9222 10812 15317 15636 16762 18444 22151 25143 26129 30634 33524 37787 44302 45951 50286 52258 61268 66453 69059 75574 78387 88604 91902 100572 104516 113361 132906 138118 151148 156774 183804 207177 226722 265812 276236 313548 376567 414354 444193 453444 642379 753134 828708 888386 1129701 1174003 1284758 1332579 1506268 1776772 1927137 2002711 2259402 2348006 2569516 2665158 3522009 3854274 4005422 4518804 4696012 5330316 6008133 7044018 7708548 8010844 10920443 12016266 14088036 19958051 21840886 24032532 32761329 34046087 39916102 43681772 59874153 65522658 68092174 79832204 102138261 119748306 131045316 136184348 204276522 239496612 408553044 578783479 1157566958 1736350437 2315133916 3472700874 6945401748