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107738443380 = 2235107166710067
BaseRepresentation
bin110010001010110110…
…1100010111001110100
3101022002110212222220210
41210111231202321310
53231122020142010
6121254440425420
710532600441631
oct1442555427164
9338073788823
10107738443380
11417675a7157
1218a69478270
13a20cac4c19
145300ac1188
152c087bbb20
hex1915b62e74

107738443380 has 96 divisors (see below), whose sum is σ = 304699885056. Its totient is φ = 28441845376.

The previous prime is 107738443369. The next prime is 107738443409. The reversal of 107738443380 is 83344837701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10697107 + ... + 10707173.

It is an arithmetic number, because the mean of its divisors is an integer number (3173957136).

Almost surely, 2107738443380 is an apocalyptic number.

107738443380 is a gapful number since it is divisible by the number (10) 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 107738443380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152349942528).

107738443380 is an abundant number, since it is smaller than the sum of its proper divisors (196961441676).

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

107738443380 is a wasteful number, since it uses less digits than its factorization.

107738443380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11853 (or 11851 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 107738443380 in words is "one hundred seven billion, seven hundred thirty-eight million, four hundred forty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 1667 2140 3210 3334 5001 6420 6668 8335 10002 10067 16670 20004 20134 25005 30201 33340 40268 50010 50335 60402 100020 100670 120804 151005 178369 201340 302010 356738 535107 604020 713476 891845 1070214 1077169 1783690 2140428 2154338 2675535 3231507 3567380 4308676 5351070 5385845 6463014 10702140 10771690 12926028 16157535 16781689 21543380 32315070 33563378 50345067 64630140 67126756 83908445 100690134 167816890 201380268 251725335 335633780 503450670 1006901340 1795640723 3591281446 5386922169 7182562892 8978203615 10773844338 17956407230 21547688676 26934610845 35912814460 53869221690 107738443380