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48089307312 = 24364395881
BaseRepresentation
bin101100110010010110…
…001001100010110000
311121010102111221000000
4230302112021202300
51241441330313222
634031504430000
73321461240064
oct546226114260
9147112457000
1048089307312
1119438184392
1293a1018300
1346c4c64237
142482a81aa4
1513b6c739ac
hexb325898b0

48089307312 has 140 divisors (see below), whose sum is σ = 142945871464. Its totient is φ = 15656820480.

The previous prime is 48089307257. The next prime is 48089307317. The reversal of 48089307312 is 21370398084.

48089307312 is a `hidden beast` number, since 480 + 8 + 93 + 0 + 73 + 12 = 666.

It is a super-3 number, since 3×480893073123 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48089307317) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 453612 + ... + 549492.

Almost surely, 248089307312 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 48089307312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71472935732).

48089307312 is an abundant number, since it is smaller than the sum of its proper divisors (94856564152).

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

48089307312 is an equidigital number, since it uses as much as digits as its factorization.

48089307312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95950 (or 95929 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 48089307312 in words is "forty-eight billion, eighty-nine million, three hundred seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 81 86 108 129 144 162 172 216 243 258 324 344 387 432 486 516 648 688 729 774 972 1032 1161 1296 1458 1548 1944 2064 2322 2916 3096 3483 3888 4644 5832 6192 6966 9288 10449 11664 13932 18576 20898 27864 31347 41796 55728 62694 83592 95881 125388 167184 191762 250776 287643 383524 501552 575286 767048 862929 1150572 1534096 1725858 2301144 2588787 3451716 4122883 4602288 5177574 6903432 7766361 8245766 10355148 12368649 13806864 15532722 16491532 20710296 23299083 24737298 31065444 32983064 37105947 41420592 46598166 49474596 62130888 65966128 69897249 74211894 93196332 98949192 111317841 124261776 139794498 148423788 186392664 197898384 222635682 279588996 296847576 333953523 372785328 445271364 559177992 593695152 667907046 890542728 1001860569 1118355984 1335814092 1781085456 2003721138 2671628184 3005581707 4007442276 5343256368 6011163414 8014884552 12022326828 16029769104 24044653656 48089307312