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70257514480 = 24519214121589
BaseRepresentation
bin100000101101110101…
…1001001011111110000
320201100100220112022221
41001123223021133300
52122341410430410
652135330210424
75035022006506
oct1013353113760
9221310815287
1070257514480
112788359855a
1211749123a14
1368188bb49a
143586cca676
151c6302b4da
hex105bac97f0

70257514480 has 80 divisors (see below), whose sum is σ = 172034301600. Its totient is φ = 26610232320.

The previous prime is 70257514469. The next prime is 70257514531. The reversal of 70257514480 is 8441575207.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×702575144802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3243526 + ... + 3265114.

It is an arithmetic number, because the mean of its divisors is an integer number (2150428770).

Almost surely, 270257514480 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 70257514480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86017150800).

70257514480 is an abundant number, since it is smaller than the sum of its proper divisors (101776787120).

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

70257514480 is a wasteful number, since it uses less digits than its factorization.

70257514480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23762 (or 23756 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 43.

The spelling of 70257514480 in words is "seventy billion, two hundred fifty-seven million, five hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 2141 4282 8564 10705 17128 21410 21589 34256 40679 42820 43178 81358 85640 86356 107945 162716 171280 172712 203395 215890 325432 345424 406790 410191 431780 650864 813580 820382 863560 1627160 1640764 1727120 2050955 3254320 3281528 4101910 6563056 8203820 16407640 32815280 46222049 92444098 184888196 231110245 369776392 462220490 739552784 878218931 924440980 1756437862 1848881960 3512875724 3697763920 4391094655 7025751448 8782189310 14051502896 17564378620 35128757240 70257514480