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198963783942 = 237113721155163
BaseRepresentation
bin1011100101001100101…
…0100110100100000110
3201000120010110110021220
42321103022212210012
511224434212041232
6231222552221210
720242336154640
oct2712312464406
9630503413256
10198963783942
117741a9617a0
123268869a806
13159ba741891
1498b6627890
1552974dc42c
hex2e532a6906

198963783942 has 128 divisors (see below), whose sum is σ = 511950163968. Its totient is φ = 50042966400.

The previous prime is 198963783937. The next prime is 198963783959. The reversal of 198963783942 is 249387369891.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3579253 + ... + 3634415.

It is an arithmetic number, because the mean of its divisors is an integer number (3999610656).

Almost surely, 2198963783942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198963783942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255975081984).

198963783942 is an abundant number, since it is smaller than the sum of its proper divisors (312986380026).

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

198963783942 is a wasteful number, since it uses less digits than its factorization.

198963783942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55434.

The product of its digits is 141087744, while the sum is 69.

The spelling of 198963783942 in words is "one hundred ninety-eight billion, nine hundred sixty-three million, seven hundred eighty-three thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 37 42 66 74 77 111 154 211 222 231 259 407 422 462 518 633 777 814 1221 1266 1477 1554 2321 2442 2849 2954 4431 4642 5698 6963 7807 8547 8862 13926 15614 16247 17094 23421 32494 46842 48741 54649 55163 85877 97482 109298 110326 163947 165489 171754 257631 327894 330978 386141 515262 601139 606793 772282 1158423 1202278 1213586 1803417 1820379 2041031 2316846 3606834 3640758 4082062 4247551 6123093 8495102 11639393 12246186 12742653 14287217 22451341 23278786 25485306 28574434 34918179 42861651 44902682 67354023 69836358 81475751 85723302 128033323 134708046 157159387 162951502 244427253 256066646 314318774 384099969 430657541 471478161 488854506 768199938 861315082 896233261 942956322 1291972623 1792466522 2583945246 2688699783 3014602787 4737232951 5377399566 6029205574 9043808361 9474465902 14211698853 18087616722 28423397706 33160630657 66321261314 99481891971 198963783942