Search a number
-
+
47545849152 = 263417539509
BaseRepresentation
bin101100010001111101…
…000001010101000000
311112201112220101120000
4230101331001111000
51234333214133102
633501532320000
73302142023004
oct542175012500
9145645811500
1047545849152
111918943520a
12926b013000
1346394a4569
142430816704
1513841c401c
hexb11f41540

47545849152 has 140 divisors (see below), whose sum is σ = 149231703060. Its totient is φ = 14916317184.

The previous prime is 47545849133. The next prime is 47545849157. The reversal of 47545849152 is 25194854574.

47545849152 is a `hidden beast` number, since 4 + 7 + 5 + 4 + 584 + 9 + 1 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39289582656 + 8256266496 = 198216^2 + 90864^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47545849157) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 181627 + ... + 357882.

Almost surely, 247545849152 is an apocalyptic number.

It is an amenable number.

47545849152 is an abundant number, since it is smaller than the sum of its proper divisors (101685853908).

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

47545849152 is a wasteful number, since it uses less digits than its factorization.

47545849152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539550 (or 539531 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 47545849152 in words is "forty-seven billion, five hundred forty-five million, eight hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 816 864 918 1088 1224 1296 1377 1632 1728 1836 2448 2592 2754 3264 3672 4896 5184 5508 7344 9792 11016 14688 22032 29376 44064 88128 539509 1079018 1618527 2158036 3237054 4316072 4855581 6474108 8632144 9171653 9711162 12948216 14566743 17264288 18343306 19422324 25896432 27514959 29133486 34528576 36686612 38844648 43700229 51792864 55029918 58266972 73373224 77689296 82544877 87400458 103585728 110059836 116533944 146746448 155378592 165089754 174800916 220119672 233067888 247634631 293492896 310757184 330179508 349601832 440239344 466135776 495269262 586985792 660359016 699203664 742903893 880478688 932271552 990538524 1320718032 1398407328 1485807786 1760957376 1981077048 2641436064 2796814656 2971615572 3962154096 5282872128 5943231144 7924308192 11886462288 15848616384 23772924576 47545849152