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4157553414450 = 2352149606730661
BaseRepresentation
bin111100100000000001011…
…111101001000100110010
3112201110101001020102111110
4330200001133221010302
51021104132133230300
612501541554254150
7606242022635622
oct74400137510462
915643331212443
104157553414450
1113632325738a7
12571918287356
132420952184a7
14105325d48882
1573232c6d550
hex3c8017e9132

4157553414450 has 96 divisors (see below), whose sum is σ = 10381981492800. Its totient is φ = 1101022675200.

The previous prime is 4157553414449. The next prime is 4157553414467. The reversal of 4157553414450 is 544143557514.

It is a self number, because there is not a number n which added to its sum of digits gives 4157553414450.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135582120 + ... + 135612780.

It is an arithmetic number, because the mean of its divisors is an integer number (108145640550).

Almost surely, 24157553414450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4157553414450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5190990746400).

4157553414450 is an abundant number, since it is smaller than the sum of its proper divisors (6224428078350).

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

4157553414450 is a wasteful number, since it uses less digits than its factorization.

4157553414450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36892 (or 36887 counting only the distinct ones).

The product of its (nonzero) digits is 3360000, while the sum is 48.

The spelling of 4157553414450 in words is "four trillion, one hundred fifty-seven billion, five hundred fifty-three million, four hundred fourteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 149 150 298 447 745 894 1490 2235 3725 4470 6067 7450 11175 12134 18201 22350 30335 30661 36402 60670 61322 91005 91983 151675 153305 182010 183966 303350 306610 455025 459915 766525 903983 910050 919830 1533050 1807966 2299575 2711949 4519915 4568489 4599150 5423898 9039830 9136978 13559745 13705467 22599575 22842445 27119490 27410934 45199150 45684890 67798725 68527335 114212225 135597450 137054670 186020287 228424450 342636675 372040574 558060861 685273350 930101435 1116121722 1860202870 2790304305 4650507175 5580608610 9301014350 13951521525 27717022763 27903043050 55434045526 83151068289 138585113815 166302136578 277170227630 415755341445 692925569075 831510682890 1385851138150 2078776707225 4157553414450