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1048236342372 = 223517371714519
BaseRepresentation
bin11110100000011111100…
…00010011110001100100
310201012200101121111200000
433100033300103301210
5114133242000423442
62121315250421300
7135506162616552
oct17201760236144
93635611544600
101048236342372
113746110a695a
1214b1a4291830
1377b0483126b
1438a40840bd2
151c401380d4c
hexf40fc13c64

1048236342372 has 144 divisors (see below), whose sum is σ = 2988120320640. Its totient is φ = 319970207232.

The previous prime is 1048236342343. The next prime is 1048236342379. The reversal of 1048236342372 is 2732436328401.

1048236342372 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 2 + 3 + 634 + 2 + 3 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1048236342379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245872 + ... + 1468647.

It is an arithmetic number, because the mean of its divisors is an integer number (20750835560).

Almost surely, 21048236342372 is an apocalyptic number.

1048236342372 is a gapful number since it is divisible by the number (12) 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 1048236342372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494060160320).

1048236342372 is an abundant number, since it is smaller than the sum of its proper divisors (1939883978268).

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

1048236342372 is a wasteful number, since it uses less digits than its factorization.

1048236342372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714592 (or 1714578 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 1048236342372 in words is "one trillion, forty-eight billion, two hundred thirty-six million, three hundred forty-two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 37 51 54 68 74 81 102 108 111 148 153 162 204 222 243 306 324 333 444 459 486 612 629 666 918 972 999 1258 1332 1377 1836 1887 1998 2516 2754 2997 3774 3996 4131 5508 5661 5994 7548 8262 8991 11322 11988 16524 16983 17982 22644 33966 35964 50949 67932 101898 152847 203796 305694 611388 1714519 3429038 5143557 6858076 10287114 15430671 20574228 29146823 30861342 46292013 58293646 61722684 63437203 87440469 92584026 116587292 126874406 138876039 174880938 185168052 190311609 253748812 262321407 277752078 349761876 380623218 416628117 524642814 555504156 570934827 761246436 786964221 833256234 1049285628 1078432451 1141869654 1573928442 1666512468 1712804481 2156864902 2283739308 2360892663 3147856884 3235297353 3425608962 4313729804 4721785326 5138413443 6470594706 6851217924 7082677989 9443570652 9705892059 10276826886 12941189412 14165355978 15415240329 19411784118 20553653772 28330711956 29117676177 30830480658 38823568236 58235352354 61660961316 87353028531 116470704708 174706057062 262059085593 349412114124 524118171186 1048236342372