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48166502900 = 22521721987719
BaseRepresentation
bin101100110110111100…
…101000000111110100
311121022210202212102212
4230312330220013310
51242121111043100
634043303152552
73323416343105
oct546674500764
9147283685385
1048166502900
111947780a59a
129402a45758
134707c51cb9
14248d0183ac
1513bd921635
hexb36f281f4

48166502900 has 108 divisors (see below), whose sum is σ = 116876373600. Its totient is φ = 17178693120.

The previous prime is 48166502899. The next prime is 48166502911. The reversal of 48166502900 is 920566184.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 505241 + ... + 592959.

Almost surely, 248166502900 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 48166502900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58438186800).

48166502900 is an abundant number, since it is smaller than the sum of its proper divisors (68709870700).

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

48166502900 is a wasteful number, since it uses less digits than its factorization.

48166502900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87786 (or 87762 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 48166502900 in words is "forty-eight billion, one hundred sixty-six million, five hundred two thousand, nine hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 289 323 340 380 425 475 578 646 850 950 1156 1292 1445 1615 1700 1900 2890 3230 5491 5780 6460 7225 8075 10982 14450 16150 21964 27455 28900 32300 54910 87719 109820 137275 175438 274550 350876 438595 549100 877190 1491223 1666661 1754380 2192975 2982446 3333322 4385950 5964892 6666644 7456115 8333305 8771900 14912230 16666610 25350791 28333237 29824460 33333220 37280575 41666525 50701582 56666474 74561150 83333050 101403164 113332948 126753955 141666185 149122300 166666100 253507910 283332370 481665029 507015820 566664740 633769775 708330925 963330058 1267539550 1416661850 1926660116 2408325145 2535079100 2833323700 4816650290 9633300580 12041625725 24083251450 48166502900