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1949355018 = 2331323157769
BaseRepresentation
bin111010000110000…
…1100110000001010
312000212001111101000
41310030030300022
512443013330033
6521233235430
766210146532
oct16414146012
95025044330
101949355018
119103a6306
12464a02b76
13250b24510
14146c744c2
15b620ba13
hex7430cc0a

1949355018 has 128 divisors (see below), whose sum is σ = 4905331200. Its totient is φ = 569327616.

The previous prime is 1949355013. The next prime is 1949355049. The reversal of 1949355018 is 8105539491.

1949355018 is a `hidden beast` number, since 1 + 9 + 4 + 93 + 550 + 1 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1949355011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2534538 + ... + 2535306.

It is an arithmetic number, because the mean of its divisors is an integer number (38322900).

Almost surely, 21949355018 is an apocalyptic number.

1949355018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1949355018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452665600).

1949355018 is an abundant number, since it is smaller than the sum of its proper divisors (2955976182).

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

1949355018 is a wasteful number, since it uses less digits than its factorization.

1949355018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 1949355018 is about 44151.5007445953. The cubic root of 1949355018 is about 1249.1952191468.

The spelling of 1949355018 in words is "one billion, nine hundred forty-nine million, three hundred fifty-five thousand, eighteen".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 117 138 157 207 234 299 314 351 414 471 598 621 702 769 897 942 1242 1413 1538 1794 2041 2307 2691 2826 3611 4082 4239 4614 5382 6123 6921 7222 8073 8478 9997 10833 12246 13842 16146 17687 18369 19994 20763 21666 29991 32499 35374 36738 41526 46943 53061 55107 59982 64998 89973 93886 97497 106122 110214 120733 140829 159183 179946 194994 229931 241466 269919 281658 318366 362199 422487 459862 477549 539838 689793 724398 844974 955098 1086597 1267461 1379586 1569529 2069379 2173194 2534922 2776859 3139058 3259791 4138758 4708587 5553718 6208137 6519582 8330577 9417174 12416274 14125761 16661154 24991731 28251522 36099167 42377283 49983462 72198334 74975193 84754566 108297501 149950386 216595002 324892503 649785006 974677509 1949355018