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70372544000 = 29531199961
BaseRepresentation
bin100000110001010000…
…1111100111000000000
320201122101100122011112
41001202201330320000
52123110332402000
652154555502452
75040616516523
oct1014241747000
9221571318145
1070372544000
1127932514980
121177b757a28
136836694ba5
1435982b0bba
151c6d19e235
hex106287ce00

70372544000 has 160 divisors (see below), whose sum is σ = 191432827872. Its totient is φ = 25589760000.

The previous prime is 70372543999. The next prime is 70372544009. The reversal of 70372544000 is 44527307.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70372544009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 654020 + ... + 753980.

Almost surely, 270372544000 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 70372544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95716413936).

70372544000 is an abundant number, since it is smaller than the sum of its proper divisors (121060283872).

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

70372544000 is an equidigital number, since it uses as much as digits as its factorization.

70372544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100005 (or 99979 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 32.

The spelling of 70372544000 in words is "seventy billion, three hundred seventy-two million, five hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 256 275 320 352 400 440 500 512 550 640 704 800 880 1000 1100 1280 1375 1408 1600 1760 2000 2200 2560 2750 2816 3200 3520 4000 4400 5500 5632 6400 7040 8000 8800 11000 12800 14080 16000 17600 22000 28160 32000 35200 44000 64000 70400 88000 99961 140800 176000 199922 352000 399844 499805 704000 799688 999610 1099571 1599376 1999220 2199142 2499025 3198752 3998440 4398284 4998050 5497855 6397504 7996880 8796568 9996100 10995710 12495125 12795008 15993760 17593136 19992200 21991420 24990250 25590016 27489275 31987520 35186272 39984400 43982840 49980500 51180032 54978550 63975040 70372544 79968800 87965680 99961000 109957100 127950080 137446375 140745088 159937600 175931360 199922000 219914200 255900160 274892750 281490176 319875200 351862720 399844000 439828400 549785500 562980352 639750400 703725440 799688000 879656800 1099571000 1279500800 1407450880 1599376000 1759313600 2199142000 2814901760 3198752000 3518627200 4398284000 6397504000 7037254400 8796568000 14074508800 17593136000 35186272000 70372544000