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58468592772 = 223310947910369
BaseRepresentation
bin110110011100111111…
…111110110010000100
312120220202222020222000
4312130333332302010
51424220424432042
642505440505300
74136622560412
oct663477766204
9176822866860
1058468592772
1122883aa6157
12b3b901b230
13568a3bc575
142b893362b2
1517c30a274c
hexd9cffec84

58468592772 has 96 divisors (see below), whose sum is σ = 153310080000. Its totient is φ = 19268554752.

The previous prime is 58468592729. The next prime is 58468592773. The reversal of 58468592772 is 27729586485.

58468592772 is a `hidden beast` number, since 58 + 468 + 59 + 2 + 7 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (58468592773) 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, 5633604 + ... + 5643972.

It is an arithmetic number, because the mean of its divisors is an integer number (1596980000).

Almost surely, 258468592772 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 58468592772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76655040000).

58468592772 is an abundant number, since it is smaller than the sum of its proper divisors (94841487228).

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

58468592772 is a wasteful number, since it uses less digits than its factorization.

58468592772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10970 (or 10962 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 58468592772 in words is "fifty-eight billion, four hundred sixty-eight million, five hundred ninety-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 109 218 327 436 479 654 958 981 1308 1437 1916 1962 2874 2943 3924 4311 5748 5886 8622 10369 11772 12933 17244 20738 25866 31107 41476 51732 52211 62214 93321 104422 124428 156633 186642 208844 279963 313266 373284 469899 559926 626532 939798 1119852 1130221 1409697 1879596 2260442 2819394 3390663 4520884 4966751 5638788 6781326 9933502 10171989 13562652 14900253 19867004 20343978 29800506 30515967 40687956 44700759 59601012 61031934 89401518 122063868 134102277 178803036 268204554 536409108 541375859 1082751718 1624127577 2165503436 3248255154 4872382731 6496510308 9744765462 14617148193 19489530924 29234296386 58468592772