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116378249490 = 232541311101411
BaseRepresentation
bin110110001100010101…
…1110010100100010010
3102010101121012121210200
41230120223302210102
53401320312440430
6125244033440030
711256650541006
oct1543053624422
9363347177720
10116378249490
11453a0540388
121a67aa10016
13ac88a60129
1458c0334706
153062049460
hex1b18af2912

116378249490 has 96 divisors (see below), whose sum is σ = 310963266432. Its totient is φ = 30179616000.

The previous prime is 116378249483. The next prime is 116378249497. The reversal of 116378249490 is 94942873611.

116378249490 is a `hidden beast` number, since 1 + 1 + 6 + 37 + 82 + 49 + 490 = 666.

It is an interprime number because it is at equal distance from previous prime (116378249483) and next prime (116378249497).

It is not an unprimeable number, because it can be changed into a prime (116378249497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1096885 + ... + 1198295.

It is an arithmetic number, because the mean of its divisors is an integer number (3239200692).

Almost surely, 2116378249490 is an apocalyptic number.

116378249490 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 116378249490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155481633216).

116378249490 is an abundant number, since it is smaller than the sum of its proper divisors (194585016942).

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

116378249490 is a wasteful number, since it uses less digits than its factorization.

116378249490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101776 (or 101773 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 116378249490 in words is "one hundred sixteen billion, three hundred seventy-eight million, two hundred forty-nine thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 311 369 410 615 622 738 933 1230 1555 1845 1866 2799 3110 3690 4665 5598 9330 12751 13995 25502 27990 38253 63755 76506 101411 114759 127510 191265 202822 229518 304233 382530 507055 573795 608466 912699 1014110 1147590 1521165 1825398 3042330 4157851 4563495 8315702 9126990 12473553 20789255 24947106 31538821 37420659 41578510 62367765 63077642 74841318 94616463 124735530 157694105 187103295 189232926 283849389 315388210 374206590 473082315 567698778 946164630 1293091661 1419246945 2586183322 2838493890 3879274983 6465458305 7758549966 11637824949 12930916610 19396374915 23275649898 38792749830 58189124745 116378249490