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47632485120 = 2835111127663
BaseRepresentation
bin101100010111000111…
…100000101100000000
311112221120220221202120
4230113013200230000
51240022404010440
633514305244240
73304243305003
oct542707405400
9145846827676
1047632485120
1119223329090
129294033680
13465141924c
14243c12953a
15138bad8dd0
hexb171e0b00

47632485120 has 144 divisors (see below), whose sum is σ = 165956055552. Its totient is φ = 11547258880.

The previous prime is 47632485097. The next prime is 47632485127. The reversal of 47632485120 is 2158423674.

It is not an unprimeable number, because it can be changed into a prime (47632485127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521592 + ... + 606071.

It is an arithmetic number, because the mean of its divisors is an integer number (1152472608).

Almost surely, 247632485120 is an apocalyptic number.

47632485120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47632485120 is an abundant number, since it is smaller than the sum of its proper divisors (118323570432).

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

47632485120 is a wasteful number, since it uses less digits than its factorization.

47632485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127698 (or 1127684 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 47632485120 in words is "forty-seven billion, six hundred thirty-two million, four hundred eighty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 42240 1127663 2255326 3382989 4510652 5638315 6765978 9021304 11276630 12404293 13531956 16914945 18042608 22553260 24808586 27063912 33829890 36085216 37212879 45106520 49617172 54127824 62021465 67659780 72170432 74425758 90213040 99234344 108255648 124042930 135319560 144340864 148851516 180426080 186064395 198468688 216511296 248085860 270639120 288681728 297703032 360852160 372128790 396937376 433022592 496171720 541278240 595406064 721704320 744257580 793874752 866045184 992343440 1082556480 1190812128 1443408640 1488515160 1587749504 1984686880 2165112960 2381624256 2977030320 3175499008 3969373760 4330225920 4763248512 5954060640 7938747520 9526497024 11908121280 15877495040 23816242560 47632485120