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506601600150 = 235247214133563
BaseRepresentation
bin1110101111100111100…
…11101111010010010110
31210102121221021202011210
413113303303233102112
531300010002201100
61024421330242250
751413026360122
oct7276363572226
91712557252153
10506601600150
1118593743a398
1282223a26386
1338a06a52859
141a73bcb4582
15d2a04a2c50
hex75f3cef496

506601600150 has 96 divisors (see below), whose sum is σ = 1283740835328. Its totient is φ = 132153731200.

The previous prime is 506601600139. The next prime is 506601600181. The reversal of 506601600150 is 51006106605.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 15077269 + ... + 15110831.

It is an arithmetic number, because the mean of its divisors is an integer number (13372300368).

Almost surely, 2506601600150 is an apocalyptic number.

506601600150 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 506601600150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641870417664).

506601600150 is an abundant number, since it is smaller than the sum of its proper divisors (777139235178).

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

506601600150 is a wasteful number, since it uses less digits than its factorization.

506601600150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35766 (or 35761 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 506601600150 its reverse (51006106605), we get a palindrome (557607706755).

The spelling of 506601600150 in words is "five hundred six billion, six hundred one million, six hundred thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 75 94 141 150 235 282 470 705 1175 1410 2141 2350 3525 4282 6423 7050 10705 12846 21410 32115 33563 53525 64230 67126 100627 100689 107050 160575 167815 201254 201378 301881 321150 335630 503135 503445 603762 839075 1006270 1006890 1509405 1577461 1678150 2515675 2517225 3018810 3154922 4732383 5031350 5034450 7547025 7887305 9464766 15094050 15774610 23661915 39436525 47323830 71858383 78873050 118309575 143716766 215575149 236619150 359291915 431150298 718583830 1077875745 1796459575 2155751490 3377344001 3592919150 5389378725 6754688002 10132032003 10778757450 16886720005 20264064006 33773440010 50660160015 84433600025 101320320030 168867200050 253300800075 506601600150