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542220550050 = 235212733185991
BaseRepresentation
bin1111110001111101101…
…11001111111110100010
31220211120021121212202110
413320332313033332202
532340431430100200
61053032004100150
754113505426114
oct7707667177642
91824507555673
10542220550050
11199a55401673
1289104694656
133c19227857a
141c35a69b3b4
15e187545b50
hex7e3edcffa2

542220550050 has 96 divisors (see below), whose sum is σ = 1359405563904. Its totient is φ = 143018568000.

The previous prime is 542220550037. The next prime is 542220550061. The reversal of 542220550050 is 50055022245.

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

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, 6262555 + ... + 6348545.

It is an arithmetic number, because the mean of its divisors is an integer number (14160474624).

Almost surely, 2542220550050 is an apocalyptic number.

542220550050 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 542220550050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679702781952).

542220550050 is an abundant number, since it is smaller than the sum of its proper divisors (817185013854).

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

542220550050 is a wasteful number, since it uses less digits than its factorization.

542220550050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86464 (or 86459 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

Adding to 542220550050 its reverse (50055022245), we get a palindrome (592275572295).

The spelling of 542220550050 in words is "five hundred forty-two billion, two hundred twenty million, five hundred fifty thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 127 150 254 331 381 635 662 762 993 1270 1655 1905 1986 3175 3310 3810 4965 6350 8275 9525 9930 16550 19050 24825 42037 49650 84074 85991 126111 171982 210185 252222 257973 420370 429955 515946 630555 859910 1050925 1261110 1289865 2101850 2149775 2579730 3152775 4299550 6305550 6449325 10920857 12898650 21841714 28463021 32762571 54604285 56926042 65525142 85389063 109208570 142315105 163812855 170778126 273021425 284630210 327625710 426945315 546042850 711575525 819064275 853890630 1423151050 1638128550 2134726575 3614803667 4269453150 7229607334 10844411001 18074018335 21688822002 36148036670 54222055005 90370091675 108444110010 180740183350 271110275025 542220550050