Search a number
-
+
48162094656 = 26313103187337
BaseRepresentation
bin101100110110101011…
…110011111001000000
311121022111110220110120
4230312223303321000
51242113444012111
634043024500240
73323334023064
oct546653637100
9147274426416
1048162094656
1119475279615
12940147a680
13470706a680
14248c5cbaa4
1513bd350406
hexb36af3e40

48162094656 has 112 divisors (see below), whose sum is σ = 138564177024. Its totient is φ = 14675152896.

The previous prime is 48162094637. The next prime is 48162094661. The reversal of 48162094656 is 65649026184.

It is a junction number, because it is equal to n+sod(n) for n = 48162094599 and 48162094608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163420 + ... + 350756.

It is an arithmetic number, because the mean of its divisors is an integer number (1237180152).

Almost surely, 248162094656 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 48162094656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69282088512).

48162094656 is an abundant number, since it is smaller than the sum of its proper divisors (90402082368).

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

48162094656 is a wasteful number, since it uses less digits than its factorization.

48162094656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187468 (or 187458 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 48162094656 in words is "forty-eight billion, one hundred sixty-two million, ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 103 104 156 192 206 208 309 312 412 416 618 624 824 832 1236 1248 1339 1648 2472 2496 2678 3296 4017 4944 5356 6592 8034 9888 10712 16068 19776 21424 32136 42848 64272 85696 128544 187337 257088 374674 562011 749348 1124022 1498696 2248044 2435381 2997392 4496088 4870762 5994784 7306143 8992176 9741524 11989568 14612286 17984352 19295711 19483048 29224572 35968704 38591422 38966096 57887133 58449144 77182844 77932192 115774266 116898288 154365688 155864384 231548532 233796576 250844243 308731376 463097064 467593152 501688486 617462752 752532729 926194128 1003376972 1234925504 1505065458 1852388256 2006753944 3010130916 3704776512 4013507888 6020261832 8027015776 12040523664 16054031552 24081047328 48162094656