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70905358480 = 245111737128099
BaseRepresentation
bin100001000001001001…
…0011110100010010000
320210000111221102020011
41002002102132202100
52130203232432410
652323511524304
75060046413515
oct1020222364220
9223014842204
1070905358480
1128086254320
12118aa089694
1368bcb99028
143608d6930c
151c9ed4a18a
hex108249e890

70905358480 has 160 divisors (see below), whose sum is σ = 195568732800. Its totient is φ = 23611023360.

The previous prime is 70905358439. The next prime is 70905358481. The reversal of 70905358480 is 8485350907.

It is a super-2 number, since 2×709053584802 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (70905358481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489471 + ... + 617569.

It is an arithmetic number, because the mean of its divisors is an integer number (1222304580).

Almost surely, 270905358480 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 70905358480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97784366400).

70905358480 is an abundant number, since it is smaller than the sum of its proper divisors (124663374320).

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

70905358480 is a wasteful number, since it uses less digits than its factorization.

70905358480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128177 (or 128171 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

The spelling of 70905358480 in words is "seventy billion, nine hundred five million, three hundred fifty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 37 40 44 55 68 74 80 85 88 110 136 148 170 176 185 187 220 272 296 340 370 374 407 440 592 629 680 740 748 814 880 935 1258 1360 1480 1496 1628 1870 2035 2516 2960 2992 3145 3256 3740 4070 5032 6290 6512 6919 7480 8140 10064 12580 13838 14960 16280 25160 27676 32560 34595 50320 55352 69190 110704 128099 138380 256198 276760 512396 553520 640495 1024792 1280990 1409089 2049584 2177683 2561980 2818178 4355366 4739663 5123960 5636356 7045445 8710732 9479326 10247920 10888415 11272712 14090890 17421464 18958652 21776830 22545424 23698315 23954513 28181780 34842928 37917304 43553660 47396630 47909026 52136293 56363560 75834608 80574271 87107320 94793260 95818052 104272586 112727120 119772565 161148542 174214640 189586520 191636104 208545172 239545130 260681465 322297084 379173040 383272208 402871355 417090344 479090260 521362930 644594168 805742710 834180688 886316981 958180520 1042725860 1289188336 1611485420 1772633962 1916361040 2085451720 3222970840 3545267924 4170903440 4431584905 6445941680 7090535848 8863169810 14181071696 17726339620 35452679240 70905358480