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48642870216 = 23319373797607
BaseRepresentation
bin101101010011010101…
…110100101111001000
311122120000010211112210
4231103111310233020
51244110033321331
634202441305120
73341262401103
oct552325645710
9148500124483
1048642870216
11196a16a5396
1295164951a0
134782851355
1424d63bb73a
1513ea66c446
hexb53574bc8

48642870216 has 128 divisors (see below), whose sum is σ = 131831424000. Its totient is φ = 14904352512.

The previous prime is 48642870209. The next prime is 48642870247. The reversal of 48642870216 is 61207824684.

It is a super-2 number, since 2×486428702162 (a number of 22 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 6390685 + ... + 6398291.

It is an arithmetic number, because the mean of its divisors is an integer number (1029933000).

Almost surely, 248642870216 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 48642870216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65915712000).

48642870216 is an abundant number, since it is smaller than the sum of its proper divisors (83188553784).

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

48642870216 is a wasteful number, since it uses less digits than its factorization.

48642870216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8051 (or 8047 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 48642870216 in words is "forty-eight billion, six hundred forty-two million, eight hundred seventy thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 111 114 148 152 222 228 296 379 444 456 703 758 888 1137 1406 1516 2109 2274 2812 3032 4218 4548 5624 7201 7607 8436 9096 14023 14402 15214 16872 21603 22821 28046 28804 30428 42069 43206 45642 56092 57608 60856 84138 86412 91284 112184 144533 168276 172824 182568 266437 281459 289066 336552 433599 532874 562918 578132 799311 844377 867198 1065748 1125836 1156264 1598622 1688754 1734396 2131496 2251672 2883053 3197244 3377508 3468792 5347721 5766106 6394488 6755016 8649159 10695442 11532212 16043163 17298318 21390884 23064424 32086326 34596636 42781768 54778007 64172652 69193272 106672961 109556014 128345304 164334021 213345922 219112028 320018883 328668042 426691844 438224056 640037766 657336084 853383688 1280075532 1314672168 2026786259 2560151064 4053572518 6080358777 8107145036 12160717554 16214290072 24321435108 48642870216