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155379944664 = 233272313404067
BaseRepresentation
bin1001000010110101011…
…1011100110011011000
3112212001200210000112100
42100231113130303120
510021204231212124
6155214111243400
714140313511060
oct2205527346330
9485050700470
10155379944664
115a994a2320a
1226144519560
1311863049c79
1477400b63a0
1540960871c9
hex242d5dccd8

155379944664 has 96 divisors (see below), whose sum is σ = 501848305920. Its totient is φ = 42464081088.

The previous prime is 155379944663. The next prime is 155379944669. The reversal of 155379944664 is 466449973551.

It is a happy number.

155379944664 is a `hidden beast` number, since 1 + 5 + 537 + 9 + 94 + 4 + 6 + 6 + 4 = 666.

155379944664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155379944663) 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, 6690442 + ... + 6713625.

It is an arithmetic number, because the mean of its divisors is an integer number (5227586520).

Almost surely, 2155379944664 is an apocalyptic number.

155379944664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

155379944664 is an abundant number, since it is smaller than the sum of its proper divisors (346468361256).

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

155379944664 is a wasteful number, since it uses less digits than its factorization.

155379944664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13404109 (or 13404102 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 155379944664 in words is "one hundred fifty-five billion, three hundred seventy-nine million, nine hundred forty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 5796 11592 13404067 26808134 40212201 53616268 80424402 93828469 107232536 120636603 160848804 187656938 241273206 281485407 308293541 321697608 375313876 482546412 562970814 616587082 750627752 844456221 924880623 965092824 1125941628 1233174164 1688912442 1849761246 2158054787 2251883256 2466348328 2774641869 3377824884 3699522492 4316109574 5549283738 6474164361 6755649768 7399044984 8632219148 11098567476 12948328722 17264438296 19422493083 22197134952 25896657444 38844986166 51793314888 77689972332 155379944664