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48801603456 = 273261968437
BaseRepresentation
bin101101011100110011…
…010101111110000000
311122222001211022121200
4231130303111332000
51244421202302311
634230311421200
73345230533164
oct553463257600
9148861738550
1048801603456
1119773261a91
12955b684800
1347a96ba348
14250d4daca4
151409574556
hexb5ccd5f80

48801603456 has 96 divisors (see below), whose sum is σ = 140660621400. Its totient is φ = 16240684032.

The previous prime is 48801603421. The next prime is 48801603467. The reversal of 48801603456 is 65430610884.

48801603456 is a `hidden beast` number, since 488 + 0 + 160 + 3 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×488016034562 (a number of 22 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 678870 + ... + 747306.

Almost surely, 248801603456 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 48801603456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70330310700).

48801603456 is an abundant number, since it is smaller than the sum of its proper divisors (91859017944).

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

48801603456 is a wasteful number, since it uses less digits than its factorization.

48801603456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69076 (or 69061 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 48801603456 in words is "forty-eight billion, eight hundred one million, six hundred three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 619 1152 1238 1857 2476 3714 4952 5571 7428 9904 11142 14856 19808 22284 29712 39616 44568 59424 68437 79232 89136 118848 136874 178272 205311 237696 273748 356544 410622 547496 615933 713088 821244 1094992 1231866 1642488 2189984 2463732 3284976 4379968 4927464 6569952 8759936 9854928 13139904 19709856 26279808 39419712 42362503 78839424 84725006 127087509 169450012 254175018 338900024 381262527 508350036 677800048 762525054 1016700072 1355600096 1525050108 2033400144 2711200192 3050100216 4066800288 5422400384 6100200432 8133600576 12200400864 16267201152 24400801728 48801603456