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458729041992 = 2331331371281853
BaseRepresentation
bin1101010110011100110…
…00011011000001001000
31121212001121121211010020
412223032120123001020
530003434113320432
6550423123220440
745066506343534
oct6531630330110
91555047554106
10458729041992
11167600648941
1274aa3517720
133434798b470
14182b9d34bc4
15bdec79622c
hex6ace61b048

458729041992 has 128 divisors (see below), whose sum is σ = 1309336949760. Its totient is φ = 132902415360.

The previous prime is 458729041951. The next prime is 458729041993. The reversal of 458729041992 is 299140927854.

It is not an unprimeable number, because it can be changed into a prime (458729041993) 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, 283063 + ... + 998790.

It is an arithmetic number, because the mean of its divisors is an integer number (10229194920).

Almost surely, 2458729041992 is an apocalyptic number.

It is an amenable number.

458729041992 is an abundant number, since it is smaller than the sum of its proper divisors (850607907768).

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

458729041992 is a wasteful number, since it uses less digits than its factorization.

458729041992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281943 (or 1281939 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 458729041992 in words is "four hundred fifty-eight billion, seven hundred twenty-nine million, forty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 37 39 52 62 74 78 93 104 111 124 148 156 186 222 248 296 312 372 403 444 481 744 806 888 962 1147 1209 1443 1612 1924 2294 2418 2886 3224 3441 3848 4588 4836 5772 6882 9176 9672 11544 13764 14911 27528 29822 44733 59644 89466 119288 178932 357864 1281853 2563706 3845559 5127412 7691118 10254824 15382236 16664089 30764472 33328178 39737443 47428561 49992267 66656356 79474886 94857122 99984534 119212329 133312712 142285683 158949772 189714244 199969068 238424658 284571366 317899544 379428488 399938136 476849316 516586759 569142732 616571293 953698632 1033173518 1138285464 1233142586 1470285391 1549760277 1849713879 2066347036 2466285172 2940570782 3099520554 3699427758 4132694072 4410856173 4932570344 5881141564 6199041108 7398855516 8821712346 11762283128 12398082216 14797711032 17643424692 19113710083 35286849384 38227420166 57341130249 76454840332 114682260498 152909680664 229364520996 458729041992