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69541319040 = 2735223162419
BaseRepresentation
bin100000011000011111…
…1000101000110000000
320122111110021000212220
41000300333011012000
52114410034202130
651540303451040
75011204313244
oct1006077050600
9218443230786
1069541319040
11275462972a6
12115892b6a80
1367333cb5bb
143519b38424
151c2020a410
hex1030fc5180

69541319040 has 128 divisors (see below), whose sum is σ = 222658329600. Its totient is φ = 18461079552.

The previous prime is 69541318981. The next prime is 69541319041. The reversal of 69541319040 is 4091314596.

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

It is a junction number, because it is equal to n+sod(n) for n = 69541318983 and 69541319001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69541319041) 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, 346951 + ... + 509369.

It is an arithmetic number, because the mean of its divisors is an integer number (1739518200).

Almost surely, 269541319040 is an apocalyptic number.

69541319040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69541319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111329164800).

69541319040 is an abundant number, since it is smaller than the sum of its proper divisors (153117010560).

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

69541319040 is a wasteful number, since it uses less digits than its factorization.

69541319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162664 (or 162652 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 69541319040 in words is "sixty-nine billion, five hundred forty-one million, three hundred nineteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 223 240 320 384 446 480 640 669 892 960 1115 1338 1784 1920 2230 2676 3345 3568 4460 5352 6690 7136 8920 10704 13380 14272 17840 21408 26760 28544 35680 42816 53520 71360 85632 107040 142720 162419 214080 324838 428160 487257 649676 812095 974514 1299352 1624190 1949028 2436285 2598704 3248380 3898056 4872570 5197408 6496760 7796112 9745140 10394816 12993520 15592224 19490280 20789632 25987040 31184448 36219437 38980560 51974080 62368896 72438874 77961120 103948160 108658311 144877748 155922240 181097185 217316622 289755496 311844480 362194370 434633244 543291555 579510992 724388740 869266488 1086583110 1159021984 1448777480 1738532976 2173166220 2318043968 2897554960 3477065952 4346332440 4636087936 5795109920 6954131904 8692664880 11590219840 13908263808 17385329760 23180439680 34770659520 69541319040