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1968473550 = 235241331967
BaseRepresentation
bin111010101010100…
…1000010111001110
312002012000211001210
41311111020113032
513012412123200
6523155115250
766531514641
oct16525102716
95065024053
101968473550
1192017434a
1246b2a2b26
13254a89664
1414960da58
15b7c36650
hex755485ce

1968473550 has 96 divisors (see below), whose sum is σ = 5021178624. Its totient is φ = 510048000.

The previous prime is 1968473539. The next prime is 1968473623. The reversal of 1968473550 is 553748691.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1968473550.

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, 2035167 + ... + 2036133.

It is an arithmetic number, because the mean of its divisors is an integer number (52303944).

Almost surely, 21968473550 is an apocalyptic number.

1968473550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1968473550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510589312).

1968473550 is an abundant number, since it is smaller than the sum of its proper divisors (3052705074).

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

1968473550 is a wasteful number, since it uses less digits than its factorization.

1968473550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The square root of 1968473550 is about 44367.4830252968. The cubic root of 1968473550 is about 1253.2658174517.

The spelling of 1968473550 in words is "one billion, nine hundred sixty-eight million, four hundred seventy-three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 75 82 123 150 205 246 331 410 615 662 967 993 1025 1230 1655 1934 1986 2050 2901 3075 3310 4835 4965 5802 6150 8275 9670 9930 13571 14505 16550 24175 24825 27142 29010 39647 40713 48350 49650 67855 72525 79294 81426 118941 135710 145050 198235 203565 237882 320077 339275 396470 407130 594705 640154 678550 960231 991175 1017825 1189410 1600385 1920462 1982350 2035650 2973525 3200770 4801155 5947050 8001925 9602310 13123157 16003850 24005775 26246314 39369471 48011550 65615785 78738942 131231570 196847355 328078925 393694710 656157850 984236775 1968473550