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70825860480 = 273561604729
BaseRepresentation
bin100000111110110001…
…1001101110110000000
320202210222100111110210
41001331203031312000
52130022410013410
652311551554120
75055062611104
oct1017543156600
9222728314423
1070825860480
11280453962a1
121188752b940
1368a95832ab
1435dc593904
151c97d95220
hex107d8cdd80

70825860480 has 128 divisors (see below), whose sum is σ = 229458751200. Its totient is φ = 18577244160.

The previous prime is 70825860463. The next prime is 70825860503. The reversal of 70825860480 is 8406852807.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185245 + ... + 419484.

Almost surely, 270825860480 is an apocalyptic number.

It is an amenable number.

70825860480 is an abundant number, since it is smaller than the sum of its proper divisors (158632890720).

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

70825860480 is a wasteful number, since it uses less digits than its factorization.

70825860480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604812 (or 604800 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 70825860480 in words is "seventy billion, eight hundred twenty-five million, eight hundred sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 128 160 183 192 240 244 305 320 366 384 480 488 610 640 732 915 960 976 1220 1464 1830 1920 1952 2440 2928 3660 3904 4880 5856 7320 7808 9760 11712 14640 19520 23424 29280 39040 58560 117120 604729 1209458 1814187 2418916 3023645 3628374 4837832 6047290 7256748 9070935 9675664 12094580 14513496 18141870 19351328 24189160 29026992 36283740 36888469 38702656 48378320 58053984 72567480 73776938 77405312 96756640 110665407 116107968 145134960 147553876 184442345 193513280 221330814 232215936 290269920 295107752 368884690 387026560 442661628 553327035 580539840 590215504 737769380 885323256 1106654070 1161079680 1180431008 1475538760 1770646512 2213308140 2360862016 2951077520 3541293024 4426616280 4721724032 5902155040 7082586048 8853232560 11804310080 14165172096 17706465120 23608620160 35412930240 70825860480