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48571414752 = 2537449316087
BaseRepresentation
bin101101001111000101…
…001111100011100000
311122101000200112002010
4231033011033203200
51243433240233002
634151405552520
73336434133120
oct551705174340
9148330615063
1048571414752
111966532a893
1294b6575740
134770ac3203
1424caadac80
1513e425546c
hexb4f14f8e0

48571414752 has 96 divisors (see below), whose sum is σ = 145755735552. Its totient is φ = 13873595904.

The previous prime is 48571414751. The next prime is 48571414757. The reversal of 48571414752 is 25741417584.

48571414752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48571414751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3011253 + ... + 3027339.

It is an arithmetic number, because the mean of its divisors is an integer number (1518288912).

Almost surely, 248571414752 is an apocalyptic number.

48571414752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

48571414752 is an abundant number, since it is smaller than the sum of its proper divisors (97184320800).

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

48571414752 is a wasteful number, since it uses less digits than its factorization.

48571414752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20600 (or 20592 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 48.

The spelling of 48571414752 in words is "forty-eight billion, five hundred seventy-one million, four hundred fourteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 4493 8986 13479 16087 17972 26958 31451 32174 35944 48261 53916 62902 64348 71888 94353 96522 107832 112609 125804 128696 143776 188706 193044 215664 225218 251608 257392 337827 377412 386088 431328 450436 503216 514784 675654 754824 772176 900872 1006432 1351308 1509648 1544352 1801744 2702616 3019296 3603488 5405232 10810464 72278891 144557782 216836673 289115564 433673346 505952237 578231128 867346692 1011904474 1156462256 1517856711 1734693384 2023808948 2312924512 3035713422 3469386768 4047617896 6071426844 6938773536 8095235792 12142853688 16190471584 24285707376 48571414752