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74947973120 = 212519132
BaseRepresentation
bin100010111001100111…
…1110101000000000000
321011110020211111222022
41011303033311000000
52211443140114440
654233003101012
75262165155156
oct1056317650000
9234406744868
1074947973120
11298701a4559
1212637b11768
1370b558b3b7
1438adc133d6
151e39bdbcb5
hex11733f5000

74947973120 has 78 divisors (see below), whose sum is σ = 179947243518. Its totient is φ = 29963517952.

The previous prime is 74947973071. The next prime is 74947973147. The reversal of 74947973120 is 2137974947.

It can be written as a sum of positive squares in 3 ways, for example, as 34021064704 + 40926908416 = 184448^2 + 202304^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39177284 + ... + 39179196.

Almost surely, 274947973120 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 74947973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89973621759).

74947973120 is an abundant number, since it is smaller than the sum of its proper divisors (104999270398).

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

74947973120 is an frugal number, since it uses more digits than its factorization.

74947973120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 53.

The spelling of 74947973120 in words is "seventy-four billion, nine hundred forty-seven million, nine hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 1913 2048 2560 3826 4096 5120 7652 9565 10240 15304 19130 20480 30608 38260 61216 76520 122432 153040 244864 306080 489728 612160 979456 1224320 1958912 2448640 3659569 3917824 4897280 7319138 7835648 9794560 14638276 18297845 19589120 29276552 36595690 39178240 58553104 73191380 117106208 146382760 234212416 292765520 468424832 585531040 936849664 1171062080 1873699328 2342124160 3747398656 4684248320 7494797312 9368496640 14989594624 18736993280 37473986560 74947973120