Search a number
-
+
155038538688 = 2631173408399
BaseRepresentation
bin1001000001100100000…
…1000101101111000000
3112211011220100210120120
42100121001011233000
510020004331214223
6155120153540240
714125666556265
oct2203101055700
9484156323516
10155038538688
115a82a238910
122606a114680
131180a3b26b7
14770aa0526c
1540760e9be3
hex2419045bc0

155038538688 has 56 divisors (see below), whose sum is σ = 447497606400. Its totient is φ = 46981374720.

The previous prime is 155038538687. The next prime is 155038538689. The reversal of 155038538688 is 886835830551.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (155038538687) and next prime (155038538689).

It is a super-2 number, since 2×1550385386882 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155038538687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36702088 + ... + 36706311.

Almost surely, 2155038538688 is an apocalyptic number.

It is an amenable number.

155038538688 is an abundant number, since it is smaller than the sum of its proper divisors (292459067712).

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

155038538688 is a wasteful number, since it uses less digits than its factorization.

155038538688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73408425 (or 73408415 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 60.

The spelling of 155038538688 in words is "one hundred fifty-five billion, thirty-eight million, five hundred thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 73408399 146816798 220225197 293633596 440450394 587267192 807492389 880900788 1174534384 1614984778 1761801576 2349068768 2422477167 3229969556 3523603152 4698137536 4844954334 6459939112 7047206304 9689908668 12919878224 14094412608 19379817336 25839756448 38759634672 51679512896 77519269344 155038538688