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988196157 = 321361138461
BaseRepresentation
bin111010111001101…
…010110100111101
32112212110120021200
4322321222310331
54010434234112
6242020250113
733326346234
oct7271526475
92485416250
10988196157
114678a1443
12236b40939
13129966570
1495357b1b
155bb4dcdc
hex3ae6ad3d

988196157 has 24 divisors (see below), whose sum is σ = 1562405208. Its totient is φ = 598147200.

The previous prime is 988196129. The next prime is 988196191. The reversal of 988196157 is 751691889.

988196157 is a `hidden beast` number, since 9 + 8 + 8 + 19 + 615 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33942276 + 954253881 = 5826^2 + 30891^2 .

It is not a de Polignac number, because 988196157 - 219 = 987671869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988196117) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 62094 + ... + 76367.

It is an arithmetic number, because the mean of its divisors is an integer number (65100217).

Almost surely, 2988196157 is an apocalyptic number.

It is an amenable number.

988196157 is a deficient number, since it is larger than the sum of its proper divisors (574209051).

988196157 is a wasteful number, since it uses less digits than its factorization.

988196157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138541 (or 138538 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 54.

The square root of 988196157 is about 31435.5874288998. The cubic root of 988196157 is about 996.0498021500.

It can be divided in two parts, 98819 and 6157, that added together give a 4-th power (104976 = 184).

The spelling of 988196157 in words is "nine hundred eighty-eight million, one hundred ninety-six thousand, one hundred fifty-seven".

Divisors: 1 3 9 13 39 61 117 183 549 793 2379 7137 138461 415383 1246149 1799993 5399979 8446121 16199937 25338363 76015089 109799573 329398719 988196157