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48183162456 = 233111316278629
BaseRepresentation
bin101100110111111100…
…001011011001011000
311121100222010021001110
4230313330023121120
51242134342144311
634045100220320
73324011060202
oct546774133130
9147328107043
1048183162456
1119486159120
12940853a6a0
13470b535b20
142491313772
1513c01128a6
hexb37f0b658

48183162456 has 128 divisors (see below), whose sum is σ = 141620371200. Its totient is φ = 13467962880.

The previous prime is 48183162451. The next prime is 48183162473. The reversal of 48183162456 is 65426138184.

It is a super-2 number, since 2×481831624562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48183162451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5579550 + ... + 5588178.

It is an arithmetic number, because the mean of its divisors is an integer number (1106409150).

Almost surely, 248183162456 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 48183162456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70810185600).

48183162456 is an abundant number, since it is smaller than the sum of its proper divisors (93437208744).

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

48183162456 is a wasteful number, since it uses less digits than its factorization.

48183162456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10289 (or 10285 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The spelling of 48183162456 in words is "forty-eight billion, one hundred eighty-three million, one hundred sixty-two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1627 1716 3254 3432 4881 6508 8629 9762 13016 17258 17897 19524 21151 25887 34516 35794 39048 42302 51774 53691 63453 69032 71588 84604 94919 103548 107382 112177 126906 143176 169208 189838 207096 214764 224354 232661 253812 284757 336531 379676 429528 448708 465322 507624 569514 673062 697983 759352 897416 930644 1139028 1233947 1346124 1395966 1861288 2278056 2467894 2692248 2791932 3701841 4935788 5583864 7403682 9871576 14039383 14807364 28078766 29614728 42118149 56157532 84236298 112315064 154433213 168472596 182511979 308866426 336945192 365023958 463299639 547535937 617732852 730047916 926599278 1095071874 1235465704 1460095832 1853198556 2007631769 2190143748 3706397112 4015263538 4380287496 6022895307 8030527076 12045790614 16061054152 24091581228 48183162456