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61506912928 = 2529416126501
BaseRepresentation
bin111001010010000110…
…010000001010100000
312212202112002220200011
4321102012100022200
52001431232203203
644131134334304
74305125063566
oct712206201240
9185675086604
1061506912928
11240a305a04a
12bb0665a394
135a529ccb46
142d96a75a36
1518eebb576d
hexe521902a0

61506912928 has 96 divisors (see below), whose sum is σ = 130431183120. Its totient is φ = 28492800000.

The previous prime is 61506912893. The next prime is 61506912937. The reversal of 61506912928 is 82921960516.

It can be written as a sum of positive squares in 8 ways, for example, as 1103036944 + 60403875984 = 33212^2 + 245772^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2307678 + ... + 2334178.

Almost surely, 261506912928 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 61506912928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65215591560).

61506912928 is an abundant number, since it is smaller than the sum of its proper divisors (68924270192).

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

61506912928 is a wasteful number, since it uses less digits than its factorization.

61506912928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26642 (or 26634 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 49.

The spelling of 61506912928 in words is "sixty-one billion, five hundred six million, nine hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 41 58 61 82 116 122 164 232 244 328 464 488 656 928 976 1189 1312 1769 1952 2378 2501 3538 4756 5002 7076 9512 10004 14152 19024 20008 26501 28304 38048 40016 53002 56608 72529 80032 106004 145058 212008 290116 424016 580232 768529 848032 1086541 1160464 1537058 1616561 2173082 2320928 3074116 3233122 4346164 6148232 6466244 8692328 12296464 12932488 17384656 24592928 25864976 31509689 34769312 46880269 51729952 63019378 66279001 93760538 126038756 132558002 187521076 252077512 265116004 375042152 504155024 530232008 750084304 1008310048 1060464016 1500168608 1922091029 2120928032 3844182058 7688364116 15376728232 30753456464 61506912928