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70553180928 = 2831911714129
BaseRepresentation
bin100000110110101001…
…1000001101100000000
320202002222020221110010
41001231103001230000
52123443103242203
652224531304520
75045242100016
oct1015523015400
9222088227403
1070553180928
1127a1548209a
121181014b140
136864c2c949
1435b42928b6
151c7de81303
hex106d4c1b00

70553180928 has 144 divisors (see below), whose sum is σ = 197873916800. Its totient is φ = 22255534080.

The previous prime is 70553180861. The next prime is 70553180933. The reversal of 70553180928 is 82908135507.

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

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 15 ways as a sum of consecutive naturals, for example, 17085168 + ... + 17089296.

Almost surely, 270553180928 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 70553180928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98936958400).

70553180928 is an abundant number, since it is smaller than the sum of its proper divisors (127320735872).

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

70553180928 is a wasteful number, since it uses less digits than its factorization.

70553180928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338 (or 5324 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 70553180928 in words is "seventy billion, five hundred fifty-three million, one hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1171 1216 1824 2342 2432 3513 3648 4129 4684 4864 7026 7296 8258 9368 12387 14052 14592 16516 18736 22249 24774 28104 33032 37472 44498 49548 56208 66064 66747 74944 78451 88996 99096 112416 132128 133494 149888 156902 177992 198192 224832 235353 264256 266988 299776 313804 355984 396384 449664 470706 528512 533976 627608 711968 792768 899328 941412 1057024 1067952 1255216 1423936 1585536 1882824 2135904 2510432 2847872 3171072 3765648 4271808 4835059 5020864 5695744 7531296 8543616 9670118 10041728 14505177 15062592 17087232 19340236 20083456 29010354 30125184 38680472 58020708 60250368 77360944 91866121 116041416 154721888 183732242 232082832 275598363 309443776 367464484 464165664 551196726 618887552 734928968 928331328 1102393452 1237775104 1469857936 1856662656 2204786904 2939715872 3713325312 4409573808 5879431744 8819147616 11758863488 17638295232 23517726976 35276590464 70553180928