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149689181160 = 233251093814709
BaseRepresentation
bin1000101101101000101…
…0111010001111101000
3112022101002121021120200
42023122022322033220
54423030412244120
6152433302352200
713546303021611
oct2133212721750
9468332537520
10149689181160
1158534705382
122501672b660
131116706419c
1473603a2c08
153d61684e90
hex22da2ba3e8

149689181160 has 96 divisors (see below), whose sum is σ = 490953177000. Its totient is φ = 39550892544.

The previous prime is 149689181143. The next prime is 149689181179. The reversal of 149689181160 is 61181986941.

149689181160 is a `hidden beast` number, since 1 + 496 + 8 + 91 + 8 + 1 + 1 + 60 = 666.

149689181160 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 149133447684 + 555733476 = 386178^2 + 23574^2 .

It is a junction number, because it is equal to n+sod(n) for n = 149689181097 and 149689181106.

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 23 ways as a sum of consecutive naturals, for example, 1868115 + ... + 1946594.

Almost surely, 2149689181160 is an apocalyptic number.

149689181160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149689181160 is an abundant number, since it is smaller than the sum of its proper divisors (341263995840).

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

149689181160 is a wasteful number, since it uses less digits than its factorization.

149689181160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814835 (or 3814828 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 149689181160 in words is "one hundred forty-nine billion, six hundred eighty-nine million, one hundred eighty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 109 120 180 218 327 360 436 545 654 872 981 1090 1308 1635 1962 2180 2616 3270 3924 4360 4905 6540 7848 9810 13080 19620 39240 3814709 7629418 11444127 15258836 19073545 22888254 30517672 34332381 38147090 45776508 57220635 68664762 76294180 91553016 114441270 137329524 152588360 171661905 228882540 274659048 343323810 415803281 457765080 686647620 831606562 1247409843 1373295240 1663213124 2079016405 2494819686 3326426248 3742229529 4158032810 4989639372 6237049215 7484459058 8316065620 9979278744 12474098430 14968918116 16632131240 18711147645 24948196860 29937836232 37422295290 49896393720 74844590580 149689181160