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5506105125 = 353234671367
BaseRepresentation
bin1010010000011000…
…00111111100100101
3112012201201010021110
411020030013330211
542234030331000
62310210535233
7253306056423
oct51014077445
915181633243
105506105125
112376064304
121097b97519
13699970791
143a33a6113
152235c8850
hex148307f25

5506105125 has 64 divisors (see below), whose sum is σ = 9587994624. Its totient is φ = 2800846400.

The previous prime is 5506105109. The next prime is 5506105139. The reversal of 5506105125 is 5215016055.

It is not a de Polignac number, because 5506105125 - 24 = 5506105109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5506105092 and 5506105101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4027192 + ... + 4028558.

It is an arithmetic number, because the mean of its divisors is an integer number (149812416).

Almost surely, 25506105125 is an apocalyptic number.

It is an amenable number.

5506105125 is a deficient number, since it is larger than the sum of its proper divisors (4081889499).

5506105125 is a wasteful number, since it uses less digits than its factorization.

5506105125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 30.

The square root of 5506105125 is about 74203.1341993045. The cubic root of 5506105125 is about 1765.8270539643.

The spelling of 5506105125 in words is "five billion, five hundred six million, one hundred five thousand, one hundred twenty-five".

Divisors: 1 3 5 15 23 25 69 75 115 125 345 375 467 575 1367 1401 1725 2335 2875 4101 6835 7005 8625 10741 11675 20505 31441 32223 34175 35025 53705 58375 94323 102525 157205 161115 170875 175125 268525 471615 512625 638389 786025 805575 1342625 1915167 2358075 3191945 3930125 4027875 9575835 11790375 14682947 15959725 44048841 47879175 73414735 79798625 220244205 239395875 367073675 1101221025 1835368375 5506105125