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55416165450 = 23524726929221
BaseRepresentation
bin110011100111000011…
…111001010001001010
312022001001021212212020
4303213003321101022
51401443014243300
641242520425310
74001156430402
oct634703712112
9168031255766
1055416165450
1121557a87348
12a8a6918236
1352c1bacb59
142979ba3802
1516951048a0
hexce70f944a

55416165450 has 96 divisors (see below), whose sum is σ = 140882768640. Its totient is φ = 14408966400.

The previous prime is 55416165433. The next prime is 55416165451. The reversal of 55416165450 is 5456161455.

55416165450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55416165451) 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, 1881840 + ... + 1911060.

It is an arithmetic number, because the mean of its divisors is an integer number (1467528840).

Almost surely, 255416165450 is an apocalyptic number.

55416165450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55416165450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70441384320).

55416165450 is an abundant number, since it is smaller than the sum of its proper divisors (85466603190).

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

55416165450 is a wasteful number, since it uses less digits than its factorization.

55416165450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29552 (or 29547 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 55416165450 in words is "fifty-five billion, four hundred sixteen million, one hundred sixty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 75 94 141 150 235 269 282 470 538 705 807 1175 1345 1410 1614 2350 2690 3525 4035 6725 7050 8070 12643 13450 20175 25286 29221 37929 40350 58442 63215 75858 87663 126430 146105 175326 189645 292210 316075 379290 438315 632150 730525 876630 948225 1373387 1461050 1896450 2191575 2746774 4120161 4383150 6866935 7860449 8240322 13733870 15720898 20600805 23581347 34334675 39302245 41201610 47162694 68669350 78604490 103004025 117906735 196511225 206008050 235813470 369441103 393022450 589533675 738882206 1108323309 1179067350 1847205515 2216646618 3694411030 5541616545 9236027575 11083233090 18472055150 27708082725 55416165450