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200981869440 = 2735119516187
BaseRepresentation
bin1011101100101101110…
…0111111001110000000
3201012202202211211011020
42323023130333032000
511243102324310230
6232155122545440
720343342463062
oct2731334771600
9635682754136
10200981869440
1178266031250
1232b50508280
1315c4c87bb01
149a2866d732
155364773810
hex2ecb73f380

200981869440 has 128 divisors (see below), whose sum is σ = 698868846720. Its totient is φ = 48722872320.

The previous prime is 200981869433. The next prime is 200981869447. The reversal of 200981869440 is 44968189002.

It is an interprime number because it is at equal distance from previous prime (200981869433) and next prime (200981869447).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200981869447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4736974 + ... + 4779213.

It is an arithmetic number, because the mean of its divisors is an integer number (5459912865).

Almost surely, 2200981869440 is an apocalyptic number.

200981869440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200981869440 is an abundant number, since it is smaller than the sum of its proper divisors (497886977280).

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

200981869440 is a wasteful number, since it uses less digits than its factorization.

200981869440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9516220 (or 9516208 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 200981869440 in words is "two hundred billion, nine hundred eighty-one million, eight hundred sixty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 9516187 19032374 28548561 38064748 47580935 57097122 76129496 95161870 104678057 114194244 142742805 152258992 190323740 209356114 228388488 285485610 304517984 314034171 380647480 418712228 456776976 523390285 570971220 609035968 628068342 761294960 837424456 913553952 1046780570 1141942440 1218071936 1256136684 1522589920 1570170855 1674848912 1827107904 2093561140 2283884880 2512273368 3045179840 3140341710 3349697824 3654215808 4187122280 4567769760 5024546736 6090359680 6280683420 6699395648 8374244560 9135539520 10049093472 12561366840 13398791296 16748489120 18271079040 20098186944 25122733680 33496978240 40196373888 50245467360 66993956480 100490934720 200981869440