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70418348100 = 223252292698021
BaseRepresentation
bin100000110010101000…
…0101011100001000100
320201202120112201120200
41001211100223201010
52123204044114400
652203313330500
75042014040262
oct1014520534104
9221676481520
1070418348100
112795635a201
1211792b66a30
1368430114c9
1435a03d5432
151c721eab00
hex106542b844

70418348100 has 108 divisors (see below), whose sum is σ = 228333601860. Its totient is φ = 18130694400.

The previous prime is 70418348083. The next prime is 70418348111. The reversal of 70418348100 is 184381407.

It can be written as a sum of positive squares in 6 ways, for example, as 408363264 + 70009984836 = 20208^2 + 264594^2 .

It is a super-2 number, since 2×704183481002 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1322911 + ... + 1375110.

Almost surely, 270418348100 is an apocalyptic number.

It is an amenable number.

70418348100 is an abundant number, since it is smaller than the sum of its proper divisors (157915253760).

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

70418348100 is a wasteful number, since it uses less digits than its factorization.

70418348100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698070 (or 2698060 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 70418348100 in words is "seventy billion, four hundred eighteen million, three hundred forty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 29 30 36 45 50 58 60 75 87 90 100 116 145 150 174 180 225 261 290 300 348 435 450 522 580 725 870 900 1044 1305 1450 1740 2175 2610 2900 4350 5220 6525 8700 13050 26100 2698021 5396042 8094063 10792084 13490105 16188126 24282189 26980210 32376252 40470315 48564378 53960420 67450525 78242609 80940630 97128756 121410945 134901050 156485218 161881260 202351575 234727827 242821890 269802100 312970436 391213045 404703150 469455654 485643780 607054725 704183481 782426090 809406300 938911308 1173639135 1214109450 1408366962 1564852180 1956065225 2347278270 2428218900 2816733924 3520917405 3912130450 4694556540 5868195675 7041834810 7824260900 11736391350 14083669620 17604587025 23472782700 35209174050 70418348100