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57475015950 = 235211197176819
BaseRepresentation
bin110101100001110001…
…110010010100001110
312111100112101022210110
4311201301302110032
51420202101002300
642223105020450
74103166401112
oct654161622416
9174315338713
1057475015950
112241416a190
12b180324726
13555c5c0ba1
142ad33bb742
151765c3e550
hexd61c7250e

57475015950 has 96 divisors (see below), whose sum is σ = 156286247040. Its totient is φ = 13862531200.

The previous prime is 57475015943. The next prime is 57475015999. The reversal of 57475015950 is 5951057475.

It is a self number, because there is not a number n which added to its sum of digits gives 57475015950.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236641 + ... + 413459.

It is an arithmetic number, because the mean of its divisors is an integer number (1627981740).

Almost surely, 257475015950 is an apocalyptic number.

57475015950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57475015950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78143123520).

57475015950 is an abundant number, since it is smaller than the sum of its proper divisors (98811231090).

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

57475015950 is a wasteful number, since it uses less digits than its factorization.

57475015950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177042 (or 177037 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 48.

The spelling of 57475015950 in words is "fifty-seven billion, four hundred seventy-five million, fifteen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 197 275 330 394 550 591 825 985 1182 1650 1970 2167 2955 4334 4925 5910 6501 9850 10835 13002 14775 21670 29550 32505 54175 65010 108350 162525 176819 325050 353638 530457 884095 1060914 1768190 1945009 2652285 3890018 4420475 5304570 5835027 8840950 9725045 11670054 13261425 19450090 26522850 29175135 34833343 48625225 58350270 69666686 97250450 104500029 145875675 174166715 209000058 291751350 348333430 383166773 522500145 766333546 870833575 1045000290 1149500319 1741667150 1915833865 2299000638 2612500725 3831667730 5225001450 5747501595 9579169325 11495003190 19158338650 28737507975 57475015950