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4920937632 = 2532132335641
BaseRepresentation
bin1001001010100111…
…11000110010100000
3110200221121112101100
410211103320302200
540034230001012
62132144434400
7232642164642
oct44523706240
913627545340
104920937632
1120a5817306
12b54018a00
13605669220
143497a0892
151dc03a8dc
hex1254f8ca0

4920937632 has 144 divisors (see below), whose sum is σ = 15137734248. Its totient is φ = 1507368960.

The previous prime is 4920937627. The next prime is 4920937643. The reversal of 4920937632 is 2367390294.

4920937632 is a `hidden beast` number, since 4 + 9 + 2 + 0 + 9 + 3 + 7 + 632 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4147875216 + 773062416 = 64404^2 + 27804^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 869532 + ... + 875172.

Almost surely, 24920937632 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 4920937632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7568867124).

4920937632 is an abundant number, since it is smaller than the sum of its proper divisors (10216796616).

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

4920937632 is a wasteful number, since it uses less digits than its factorization.

4920937632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5903 (or 5892 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 4920937632 is about 70149.3950936143. The cubic root of 4920937632 is about 1700.9150358768.

The spelling of 4920937632 in words is "four billion, nine hundred twenty million, nine hundred thirty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 233 234 288 312 416 466 468 624 699 932 936 1248 1398 1864 1872 2097 2796 3029 3728 3744 4194 5592 5641 6058 7456 8388 9087 11184 11282 12116 16776 16923 18174 22368 22564 24232 27261 33552 33846 36348 45128 48464 50769 54522 67104 67692 72696 73333 90256 96928 101538 109044 135384 145392 146666 180512 203076 218088 219999 270768 290784 293332 406152 436176 439998 541536 586664 659997 812304 872352 879996 1173328 1314353 1319994 1624608 1759992 2346656 2628706 2639988 3519984 3943059 5257412 5279976 7039968 7886118 10514824 10559952 11829177 15772236 17086589 21029648 21119904 23658354 31544472 34173178 42059296 47316708 51259767 63088944 68346356 94633416 102519534 126177888 136692712 153779301 189266832 205039068 273385424 307558602 378533664 410078136 546770848 615117204 820156272 1230234408 1640312544 2460468816 4920937632