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542239687752 = 233737812310739
BaseRepresentation
bin1111110010000000000…
…00010000010001001000
31220211121121122011202020
413321000000100101020
532341001330002002
61053033530204440
754114130204140
oct7710000202110
91824547564666
10542239687752
11199a65193054
128910ab83720
133c196219359
141c35d03d920
15e1890762bc
hex7e40010448

542239687752 has 128 divisors (see below), whose sum is σ = 1591472102400. Its totient is φ = 150705854208.

The previous prime is 542239687747. The next prime is 542239687753. The reversal of 542239687752 is 257786932245.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (542239687753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50487199 + ... + 50497937.

It is an arithmetic number, because the mean of its divisors is an integer number (12433375800).

Almost surely, 2542239687752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542239687752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795736051200).

542239687752 is an abundant number, since it is smaller than the sum of its proper divisors (1049232414648).

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

542239687752 is a wasteful number, since it uses less digits than its factorization.

542239687752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18915 (or 18911 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 60.

The spelling of 542239687752 in words is "five hundred forty-two billion, two hundred thirty-nine million, six hundred eighty-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 3108 6216 8123 10739 16246 21478 24369 32217 32492 42956 48738 56861 64434 64984 75173 85912 97476 113722 128868 150346 170583 194952 225519 227444 257736 300551 300692 341166 397343 451038 454888 601102 601384 682332 794686 901653 902076 1192029 1202204 1364664 1589372 1803306 1804152 2103857 2384058 2404408 2781401 3178744 3606612 4207714 4768116 5562802 6311571 7213224 8344203 8415428 9536232 11125604 12623142 16688406 16830856 22251208 25246284 33376812 50492568 66753624 87232897 174465794 261698691 348931588 523397382 610630279 697863176 1046794764 1221260558 1831890837 2093589528 2442521116 3227617189 3663781674 4885042232 6455234378 7327563348 9682851567 12910468756 14655126696 19365703134 22593320323 25820937512 38731406268 45186640646 67779960969 77462812536 90373281292 135559921938 180746562584 271119843876 542239687752