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5060154641000 = 2353101127739233
BaseRepresentation
bin100100110100010100010…
…1110000100101001101000
3122220202010212200111201212
41021220220232010221220
51130401144042003000
614432334123132252
71031404230526214
oct111505056045150
918822125614655
105060154641000
111680aaa4166a8
12698837674088
132a922a8868b4
14136cac9b1944
158b95d81dc35
hex49a28b84a68

5060154641000 has 128 divisors (see below), whose sum is σ = 11967666291360. Its totient is φ = 2002401280000.

The previous prime is 5060154640921. The next prime is 5060154641033. The reversal of 5060154641000 is 1464510605.

It can be written as a sum of positive squares in 16 ways, for example, as 103270964164 + 4956883676836 = 321358^2 + 2226406^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128957384 + ... + 128996616.

Almost surely, 25060154641000 is an apocalyptic number.

5060154641000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5060154641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5983833145680).

5060154641000 is an abundant number, since it is smaller than the sum of its proper divisors (6907511650360).

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

5060154641000 is a wasteful number, since it uses less digits than its factorization.

5060154641000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40632 (or 40618 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 5060154641000 in words is "five trillion, sixty billion, one hundred fifty-four million, six hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 1277 2020 2525 2554 4040 5050 5108 6385 10100 10216 12625 12770 20200 25250 25540 31925 39233 50500 51080 63850 78466 101000 127700 128977 156932 159625 196165 255400 257954 313864 319250 392330 515908 638500 644885 784660 980825 1031816 1277000 1289770 1569320 1961650 2579540 3224425 3923300 3962533 4904125 5159080 6448850 7846600 7925066 9808250 12897700 15850132 16122125 19616500 19812665 25795400 31700264 32244250 39233000 39625330 50100541 64488500 79250660 99063325 100201082 128977000 158501320 198126650 200402164 250502705 396253300 400804328 495316625 501005410 792506600 990633250 1002010820 1252513525 1981266500 2004021640 2505027050 3962533000 5010054100 5060154641 6262567625 10020108200 10120309282 12525135250 20240618564 25050270500 25300773205 40481237128 50100541000 50601546410 101203092820 126503866025 202406185640 253007732050 506015464100 632519330125 1012030928200 1265038660250 2530077320500 5060154641000