Search a number
-
+
2115176057340 = 22351718011151417
BaseRepresentation
bin11110110001111010010…
…100010100100111111100
321111012122020220210011120
4132301322110110213330
5234123340032313330
64255410511350540
7305550014560503
oct36617224244774
97435566823146
102115176057340
1174604a818435
122a1b28222450
131245ca2132a8
147453728383a
153a049706c10
hex1ec7a5149fc

2115176057340 has 96 divisors (see below), whose sum is σ = 6274362233664. Its totient is φ = 530572492800.

The previous prime is 2115176057317. The next prime is 2115176057363. The reversal of 2115176057340 is 437506715112.

It is an interprime number because it is at equal distance from previous prime (2115176057317) and next prime (2115176057363).

It is a junction number, because it is equal to n+sod(n) for n = 2115176057292 and 2115176057301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1261312 + ... + 2412728.

It is an arithmetic number, because the mean of its divisors is an integer number (65357939934).

Almost surely, 22115176057340 is an apocalyptic number.

2115176057340 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 2115176057340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137181116832).

2115176057340 is an abundant number, since it is smaller than the sum of its proper divisors (4159186176324).

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

2115176057340 is a wasteful number, since it uses less digits than its factorization.

2115176057340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153247 (or 1153245 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 2115176057340 in words is "two trillion, one hundred fifteen billion, one hundred seventy-six million, fifty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1801 3602 5403 7204 9005 10806 18010 21612 27015 30617 36020 54030 61234 91851 108060 122468 153085 183702 306170 367404 459255 612340 918510 1151417 1837020 2302834 3454251 4605668 5757085 6908502 11514170 13817004 17271255 19574089 23028340 34542510 39148178 58722267 69085020 78296356 97870445 117444534 195740890 234889068 293611335 391481780 587222670 1174445340 2073702017 4147404034 6221106051 8294808068 10368510085 12442212102 20737020170 24884424204 31105530255 35252934289 41474040340 62211060510 70505868578 105758802867 124422121020 141011737156 176264671445 211517605734 352529342890 423035211468 528794014335 705058685780 1057588028670 2115176057340