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155203693681 = 151226092
BaseRepresentation
bin1001000010001011011…
…1000110110001110001
3112211121102010112122011
42100202313012301301
510020324121144211
6155144413442521
714133043425601
oct2204267066161
9484542115564
10155203693681
115a904491243
12260b54a0441
131183568964a
147724916c01
15408586e921
hex2422dc6c71

155203693681 has 9 divisors (see below), whose sum is σ = 156298246923. Its totient is φ = 154116760800.

The previous prime is 155203693657. The next prime is 155203693717. The reversal of 155203693681 is 186396302551.

It is a happy number.

The square root of 155203693681 is 393959.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 74615839281 + 80587854400 = 273159^2 + 283880^2 .

It is not a de Polignac number, because 155203693681 - 25 = 155203693649 is a prime.

It is a super-2 number, since 2×1552036936812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (155203691681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 59486505 + ... + 59489113.

Almost surely, 2155203693681 is an apocalyptic number.

155203693681 is the 393959-th square number.

155203693681 is the 196980-th centered octagonal number.

It is an amenable number.

155203693681 is a deficient number, since it is larger than the sum of its proper divisors (1094553242).

155203693681 is an frugal number, since it uses more digits than its factorization.

155203693681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

Multiplying 155203693681 by its sum of digits (49), we get a square (7604980990369 = 27577132).

The spelling of 155203693681 in words is "one hundred fifty-five billion, two hundred three million, six hundred ninety-three thousand, six hundred eighty-one".

Divisors: 1 151 2609 22801 393959 6806881 59487809 1027839031 155203693681