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55016048754 = 2321710112891381
BaseRepresentation
bin110011001111001101…
…100100100001110010
312021000011101211221100
4303033031210201302
51400133102030004
641135104505230
73655230461412
oct631715444162
9167004354840
1055016048754
1121372141797
12a7b491b216
13525a02a404
14293c9ac642
15166ee1b739
hexccf364872

55016048754 has 96 divisors (see below), whose sum is σ = 127654179120. Its totient is φ = 17063424000.

The previous prime is 55016048753. The next prime is 55016048767. The reversal of 55016048754 is 45784061055.

55016048754 is a `hidden beast` number, since 5 + 5 + 0 + 160 + 487 + 5 + 4 = 666.

55016048754 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 52856309025 + 2159739729 = 229905^2 + 46473^2 .

It is not an unprimeable number, because it can be changed into a prime (55016048753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39837144 + ... + 39838524.

Almost surely, 255016048754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55016048754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63827089560).

55016048754 is an abundant number, since it is smaller than the sum of its proper divisors (72638130366).

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

55016048754 is a wasteful number, since it uses less digits than its factorization.

55016048754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 55016048754 in words is "fifty-five billion, sixteen million, forty-eight thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 34 51 101 102 153 202 303 306 606 909 1289 1381 1717 1818 2578 2762 3434 3867 4143 5151 7734 8286 10302 11601 12429 15453 21913 23202 23477 24858 30906 43826 46954 65739 70431 130189 131478 139481 140862 197217 211293 260378 278962 390567 394434 418443 422586 781134 836886 1171701 1255329 1780109 2213213 2343402 2371177 2510658 3560218 4426426 4742354 5340327 6639639 7113531 10680654 13279278 14227062 16020981 19918917 21340593 30261853 32041962 39837834 42681186 60523706 90785559 179791009 181571118 272356677 359582018 539373027 544713354 1078746054 1618119081 3056447153 3236238162 6112894306 9169341459 18338682918 27508024377 55016048754