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155444101696 = 261321722232
BaseRepresentation
bin1001000011000100110…
…0001100001001000000
3112212020011111112102201
42100301030030021000
510021322142223241
6155224322322544
714142023030602
oct2206114141100
9485204445381
10155444101696
115aa18163354
1226161ab9454
1311873421100
147748817172
15409ba0b931
hex243130c240

155444101696 has 189 divisors, whose sum is σ = 356414005611. Its totient is φ = 67220434944.

The previous prime is 155444101643. The next prime is 155444101697. The reversal of 155444101696 is 696101444551.

The square root of 155444101696 is 394264.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1403551296 + 154040550400 = 37464^2 + 392480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (155444101697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 697058641 + ... + 697058863.

Almost surely, 2155444101696 is an apocalyptic number.

155444101696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

155444101696 is the 394264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155444101696

155444101696 is an abundant number, since it is smaller than the sum of its proper divisors (200969903915).

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

155444101696 is an equidigital number, since it uses as much as digits as its factorization.

155444101696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 155444101696 in words is "one hundred fifty-five billion, four hundred forty-four million, one hundred one thousand, six hundred ninety-six".