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71007734340 = 223252511571663
BaseRepresentation
bin100001000100001100…
…1000000101001000100
320210021122120122111200
41002020121000221010
52130410434444330
652342010102500
75062431532434
oct1021031005104
9223248518450
1071007734340
1128129018874
121191841aa30
13690816206a
1436187b82c4
151ca8d1da60
hex1088640a44

71007734340 has 72 divisors (see below), whose sum is σ = 216248393088. Its totient is φ = 18859944000.

The previous prime is 71007734321. The next prime is 71007734351. The reversal of 71007734340 is 4343770017.

It is a super-2 number, since 2×710077343402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 71007734295 and 71007734304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 740652 + ... + 831011.

It is an arithmetic number, because the mean of its divisors is an integer number (3003449904).

Almost surely, 271007734340 is an apocalyptic number.

It is an amenable number.

71007734340 is an abundant number, since it is smaller than the sum of its proper divisors (145240658748).

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

71007734340 is a wasteful number, since it uses less digits than its factorization.

71007734340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571929 (or 1571924 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 71007734340 in words is "seventy-one billion, seven million, seven hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 251 502 753 1004 1255 1506 2259 2510 3012 3765 4518 5020 7530 9036 11295 15060 22590 45180 1571663 3143326 4714989 6286652 7858315 9429978 14144967 15716630 18859956 23574945 28289934 31433260 47149890 56579868 70724835 94299780 141449670 282899340 394487413 788974826 1183462239 1577949652 1972437065 2366924478 3550386717 3944874130 4733848956 5917311195 7100773434 7889748260 11834622390 14201546868 17751933585 23669244780 35503867170 71007734340