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70768128720 = 24354112756629
BaseRepresentation
bin100000111101000011…
…0111111001011010000
320202122221201102101110
41001322012333023100
52124413120104340
652302130333320
75053462111662
oct1017206771320
9222587642343
1070768128720
11280158445a3
121187012a240
13689a61b8a3
1435d4a46532
151c92c8e680
hex107a1bf2d0

70768128720 has 160 divisors (see below), whose sum is σ = 226505502720. Its totient is φ = 18265927680.

The previous prime is 70768128719. The next prime is 70768128727. The reversal of 70768128720 is 2782186707.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 70768128720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70768128727) 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, 1221366 + ... + 1277994.

It is an arithmetic number, because the mean of its divisors is an integer number (1415659392).

Almost surely, 270768128720 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 70768128720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113252751360).

70768128720 is an abundant number, since it is smaller than the sum of its proper divisors (155737374000).

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

70768128720 is a wasteful number, since it uses less digits than its factorization.

70768128720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56813 (or 56807 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 48.

The spelling of 70768128720 in words is "seventy billion, seven hundred sixty-eight million, one hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 127 164 205 240 246 254 328 381 410 492 508 615 635 656 762 820 984 1016 1230 1270 1524 1640 1905 1968 2032 2460 2540 3048 3280 3810 4920 5080 5207 6096 7620 9840 10160 10414 15240 15621 20828 26035 30480 31242 41656 52070 56629 62484 78105 83312 104140 113258 124968 156210 169887 208280 226516 249936 283145 312420 339774 416560 453032 566290 624840 679548 849435 906064 1132580 1249680 1359096 1698870 2265160 2321789 2718192 3397740 4530320 4643578 6795480 6965367 7191883 9287156 11608945 13590960 13930734 14383766 18574312 21575649 23217890 27861468 28767532 34826835 35959415 37148624 43151298 46435780 55722936 57535064 69653670 71918830 86302596 92871560 107878245 111445872 115070128 139307340 143837660 172605192 185743120 215756490 278614680 287675320 294867203 345210384 431512980 557229360 575350640 589734406 863025960 884601609 1179468812 1474336015 1726051920 1769203218 2358937624 2948672030 3538406436 4423008045 4717875248 5897344060 7076812872 8846016090 11794688120 14153625744 17692032180 23589376240 35384064360 70768128720