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4975089984 = 26341756453
BaseRepresentation
bin1001010001000100…
…11101100101000000
3110211201111202110000
410220202131211000
540142110334414
62141401240000
7234200365344
oct45042354500
913751452400
104975089984
112123343817
12b6a193000
13613949637
14352a59624
151e1b85b09
hex12889d940

4975089984 has 140 divisors (see below), whose sum is σ = 15615515124. Its totient is φ = 1560784896.

The previous prime is 4975089971. The next prime is 4975089989. The reversal of 4975089984 is 4899805794.

4975089984 is a `hidden beast` number, since 49 + 7 + 508 + 9 + 9 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3401222400 + 1573867584 = 58320^2 + 39672^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4975089989) 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, 59902 + ... + 116354.

Almost surely, 24975089984 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 4975089984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7807757562).

4975089984 is an abundant number, since it is smaller than the sum of its proper divisors (10640425140).

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

4975089984 is a wasteful number, since it uses less digits than its factorization.

4975089984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56494 (or 56475 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The square root of 4975089984 is about 70534.3177751086. The cubic root of 4975089984 is about 1707.1315159002.

The spelling of 4975089984 in words is "four billion, nine hundred seventy-five million, eighty-nine thousand, nine hundred eighty-four".

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 56453 88128 112906 169359 225812 338718 451624 508077 677436 903248 959701 1016154 1354872 1524231 1806496 1919402 2032308 2709744 2879103 3048462 3612992 3838804 4064616 4572693 5419488 5758206 6096924 7677608 8129232 8637309 9145386 10838976 11516412 12193848 15355216 16258464 17274618 18290772 23032824 24387696 25911927 30710432 32516928 34549236 36581544 46065648 48775392 51823854 61420864 69098472 73163088 77735781 92131296 97550784 103647708 138196944 146326176 155471562 184262592 207295416 276393888 292652352 310943124 414590832 552787776 621886248 829181664 1243772496 1658363328 2487544992 4975089984