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48162981825 = 32527316714723
BaseRepresentation
bin101100110110101111…
…001100011111000001
311121022120010222102200
4230312233030133001
51242114210404300
634043055503413
73323344406430
oct546657143701
9147276128380
1048162981825
1119475825112
129401827b69
1347072bb41a
14248c77d117
1513bd478200
hexb36bcc7c1

48162981825 has 144 divisors (see below), whose sum is σ = 103295102976. Its totient is φ = 20987683200.

The previous prime is 48162981821. The next prime is 48162981851. The reversal of 48162981825 is 52818926184.

48162981825 is a `hidden beast` number, since 4 + 8 + 1 + 629 + 8 + 1 + 8 + 2 + 5 = 666.

It is not a de Polignac number, because 48162981825 - 22 = 48162981821 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48162981821) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3263914 + ... + 3278636.

It is an arithmetic number, because the mean of its divisors is an integer number (717327104).

Almost surely, 248162981825 is an apocalyptic number.

48162981825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48162981825 is an abundant number, since it is smaller than the sum of its proper divisors (55132121151).

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

48162981825 is a wasteful number, since it uses less digits than its factorization.

48162981825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14844 (or 14836 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 54.

The spelling of 48162981825 in words is "forty-eight billion, one hundred sixty-two million, nine hundred eighty-one thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 31 35 45 63 67 75 93 105 155 175 201 217 225 279 315 335 465 469 525 603 651 775 1005 1085 1395 1407 1575 1675 1953 2077 2325 2345 3015 3255 4221 5025 5425 6231 6975 7035 9765 10385 11725 14539 14723 15075 16275 18693 21105 31155 35175 43617 44169 48825 51925 72695 73615 93465 103061 105525 130851 132507 155775 218085 220845 309183 363475 368075 456413 467325 515305 654255 662535 927549 986441 1090425 1104225 1369239 1545915 2282065 2576525 2959323 3194891 3271275 3312675 4107717 4637745 4932205 6846195 6905087 7729575 8877969 9584673 11410325 14796615 15974455 20538585 20715261 23188725 24661025 28754019 30579671 34230975 34525435 44389845 47923365 62145783 73983075 79872275 91739013 102692925 103576305 143770095 152898355 172627175 214057697 221949225 239616825 275217039 310728915 458695065 517881525 642173091 718850475 764491775 1070288485 1376085195 1553644575 1926519273 2293475325 3210865455 5351442425 6880425975 9632596365 16054327275 48162981825