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200147969640 = 233517343122369
BaseRepresentation
bin1011101001100110111…
…1111010011001101000
3201010121122201022200110
42322121233322121220
511234400340012030
6231540253334320
720313565446243
oct2723157723150
9633548638613
10200147969640
1177978346a63
12329591973a0
1315b48b89b88
1499899dc25a
1553164521b0
hex2e99bfa668

200147969640 has 128 divisors (see below), whose sum is σ = 605342937600. Its totient is φ = 52938792960.

The previous prime is 200147969591. The next prime is 200147969647. The reversal of 200147969640 is 46969741002.

It is a happy number.

200147969640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 4473792-1.

It is a self number, because there is not a number n which added to its sum of digits gives 200147969640.

It is not an unprimeable number, because it can be changed into a prime (200147969647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8936376 + ... + 8958744.

It is an arithmetic number, because the mean of its divisors is an integer number (4729241700).

Almost surely, 2200147969640 is an apocalyptic number.

200147969640 is a gapful number since it is divisible by the number (20) 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 200147969640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302671468800).

200147969640 is an abundant number, since it is smaller than the sum of its proper divisors (405194967960).

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

200147969640 is a wasteful number, since it uses less digits than its factorization.

200147969640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22987 (or 22983 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 200147969640 in words is "two hundred billion, one hundred forty-seven million, nine hundred sixty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 173 346 431 519 692 862 865 1038 1293 1384 1724 1730 2076 2155 2586 2595 3448 3460 4152 4310 5172 5190 6465 6920 8620 10344 10380 12930 17240 20760 22369 25860 44738 51720 67107 74563 89476 111845 134214 149126 178952 223689 223690 268428 298252 335535 372815 447378 447380 536856 596504 671070 745630 894756 894760 1118445 1342140 1491260 1789512 2236890 2684280 2982520 3869837 4473780 7739674 8947560 9641039 11609511 15479348 19282078 19349185 23219022 28923117 30958696 38564156 38698370 46438044 48205195 57846234 58047555 77128312 77396740 92876088 96410390 115692468 116095110 144615585 154793480 192820780 231384936 232190220 289231170 385641560 464380440 578462340 1156924680 1667899747 3335799494 5003699241 6671598988 8339498735 10007398482 13343197976 16678997470 20014796964 25018496205 33357994940 40029593928 50036992410 66715989880 100073984820 200147969640