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99795455872 = 277236772277
BaseRepresentation
bin101110011110001000…
…1011100111110000000
3100112120220202102110021
41130330101130332000
53113340114041442
6113502334543224
710132011243640
oct1347421347600
9315526672407
1099795455872
1139360a2a072
1217411367b14
139545324008
144b89c18520
1528e12d3e67
hex173c45cf80

99795455872 has 128 divisors (see below), whose sum is σ = 240633699840. Its totient is φ = 40298784768.

The previous prime is 99795455839. The next prime is 99795455887. The reversal of 99795455872 is 27855459799.

99795455872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×997954558723 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1344598 + ... + 1416874.

It is an arithmetic number, because the mean of its divisors is an integer number (1879950780).

Almost surely, 299795455872 is an apocalyptic number.

99795455872 is a gapful number since it is divisible by the number (92) 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 99795455872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120316849920).

99795455872 is an abundant number, since it is smaller than the sum of its proper divisors (140838243968).

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

99795455872 is a wasteful number, since it uses less digits than its factorization.

99795455872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72388 (or 72376 counting only the distinct ones).

The product of its digits is 285768000, while the sum is 70.

The spelling of 99795455872 in words is "ninety-nine billion, seven hundred ninety-five million, four hundred fifty-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 67 92 112 128 134 161 184 224 268 322 368 448 469 536 644 736 896 938 1072 1288 1472 1541 1876 2144 2576 2944 3082 3752 4288 5152 6164 7504 8576 10304 10787 12328 15008 20608 21574 24656 30016 43148 49312 60032 72277 86296 98624 144554 172592 197248 289108 345184 505939 578216 690368 1011878 1156432 1380736 1662371 2023756 2312864 3324742 4047512 4625728 4842559 6649484 8095024 9251456 9685118 11636597 13298968 16190048 19370236 23273194 26597936 32380096 33897913 38740472 46546388 53195872 64760192 67795826 77480944 93092776 106391744 111378857 135591652 154961888 186185552 212783488 222757714 271183304 309923776 372371104 445515428 542366608 619847552 744742208 779651999 891030856 1084733216 1489484416 1559303998 1782061712 2169466432 3118607996 3564123424 4338932864 6237215992 7128246848 12474431984 14256493696 24948863968 49897727936 99795455872