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107603769336 = 23376710139437
BaseRepresentation
bin110010000110110101…
…1110011011111111000
3101021202002110211212020
41210031223303133320
53230333031104321
6121233230114440
710526343643140
oct1441553633770
9337662424766
10107603769336
11416a8582598
1218a3034ba20
13a1bac30b3b
1452cac65920
152beba684c6
hex190daf37f8

107603769336 has 128 divisors (see below), whose sum is σ = 312369108480. Its totient is φ = 30251966976.

The previous prime is 107603769331. The next prime is 107603769349. The reversal of 107603769336 is 633967306701.

107603769336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107603769331) 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, 11397610 + ... + 11407046.

It is an arithmetic number, because the mean of its divisors is an integer number (2440383660).

Almost surely, 2107603769336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107603769336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156184554240).

107603769336 is an abundant number, since it is smaller than the sum of its proper divisors (204765339144).

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

107603769336 is a wasteful number, since it uses less digits than its factorization.

107603769336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10533 (or 10529 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 51.

The spelling of 107603769336 in words is "one hundred seven billion, six hundred three million, seven hundred sixty-nine thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 804 938 1013 1407 1608 1876 2026 2814 3039 3752 4052 5628 6078 7091 8104 9437 11256 12156 14182 18874 21273 24312 28311 28364 37748 42546 56622 56728 66059 67871 75496 85092 113244 132118 135742 170184 198177 203613 226488 264236 271484 396354 407226 475097 528472 542968 632279 792708 814452 950194 1264558 1425291 1585416 1628904 1896837 1900388 2529116 2850582 3793674 3800776 4425953 5058232 5701164 7587348 8851906 9559681 11402328 13277859 15174696 17703812 19119362 26555718 28679043 35407624 38238724 53111436 57358086 66917767 76477448 106222872 114716172 133835534 200753301 229432344 267671068 401506602 535342136 640498627 803013204 1280997254 1606026408 1921495881 2561994508 3842991762 4483490389 5123989016 7685983524 8966980778 13450471167 15371967048 17933961556 26900942334 35867923112 53801884668 107603769336