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48805892496 = 24331919330809
BaseRepresentation
bin101101011101000011…
…101101000110010000
311122222100220020002000
4231131003231012100
51244423302024441
634230543354000
73345312145524
oct553503550620
9148870806060
1048805892496
1119775721449
129560bb2900
1347aa55c63a
14250dcd5d84
151409b202b6
hexb5d0ed190

48805892496 has 160 divisors (see below), whose sum is σ = 148233072000. Its totient is φ = 15332032512.

The previous prime is 48805892491. The next prime is 48805892563. The reversal of 48805892496 is 69429850884.

48805892496 is a `hidden beast` number, since 4 + 8 + 8 + 0 + 58 + 92 + 496 = 666.

It is a super-2 number, since 2×488058924962 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48805892491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1568740 + ... + 1599548.

It is an arithmetic number, because the mean of its divisors is an integer number (926456700).

Almost surely, 248805892496 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 48805892496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74116536000).

48805892496 is an abundant number, since it is smaller than the sum of its proper divisors (99427179504).

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

48805892496 is a wasteful number, since it uses less digits than its factorization.

48805892496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31038 (or 31026 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 48805892496 in words is "forty-eight billion, eight hundred five million, eight hundred ninety-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 193 216 228 304 342 386 432 456 513 579 684 772 912 1026 1158 1368 1544 1737 2052 2316 2736 3088 3474 3667 4104 4632 5211 6948 7334 8208 9264 10422 11001 13896 14668 20844 22002 27792 29336 30809 33003 41688 44004 58672 61618 66006 83376 88008 92427 99009 123236 132012 176016 184854 198018 246472 264024 277281 369708 396036 492944 528048 554562 585371 739416 792072 831843 1109124 1170742 1478832 1584144 1663686 1756113 2218248 2341484 3327372 3512226 4436496 4682968 5268339 5946137 6654744 7024452 9365936 10536678 11892274 13309488 14048904 15805017 17838411 21073356 23784548 28097808 31610034 35676822 42146712 47569096 53515233 63220068 71353644 84293424 95138192 107030466 112976603 126440136 142707288 160545699 214060932 225953206 252880272 285414576 321091398 338929809 428121864 451906412 642182796 677859618 856243728 903812824 1016789427 1284365592 1355719236 1807625648 2033578854 2568731184 2711438472 3050368281 4067157708 5422876944 6100736562 8134315416 12201473124 16268630832 24402946248 48805892496