Search a number
-
+
352115042157 = 322331379715289
BaseRepresentation
bin1010001111110111011…
…00010010011101101101
31020122212111120110202200
411013323230102131231
521232112422322112
6425432011212113
734303511321634
oct5077354223555
91218774513680
10352115042157
1112637084187a
12582aa747039
1327286b25068
141308471651b
15925ca8ccdc
hex51fbb1276d

352115042157 has 96 divisors (see below), whose sum is σ = 568488560640. Its totient is φ = 209227898880.

The previous prime is 352115042137. The next prime is 352115042171. The reversal of 352115042157 is 751240511253.

352115042157 is a `hidden beast` number, since 35 + 2 + 1 + 150 + 421 + 57 = 666.

It is not a de Polignac number, because 352115042157 - 212 = 352115038061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352115042117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23022969 + ... + 23038257.

It is an arithmetic number, because the mean of its divisors is an integer number (5921755840).

Almost surely, 2352115042157 is an apocalyptic number.

352115042157 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

352115042157 is a deficient number, since it is larger than the sum of its proper divisors (216373518483).

352115042157 is a wasteful number, since it uses less digits than its factorization.

352115042157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15483 (or 15480 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 352115042157 in words is "three hundred fifty-two billion, one hundred fifteen million, forty-two thousand, one hundred fifty-seven".

Divisors: 1 3 9 23 31 37 69 93 97 111 207 279 291 333 713 851 873 1147 2139 2231 2553 3007 3441 3589 6417 6693 7659 9021 10323 10767 15289 20079 26381 27063 32301 45867 69161 79143 82547 111259 137601 207483 237429 247641 333777 351647 473959 565693 622449 742923 1001331 1054941 1421877 1483033 1697079 2558957 3164823 4265631 4449099 5091237 7676871 10901057 13010939 13347297 17536483 23030613 32703171 34109759 39032817 45974023 52609449 54872221 98109513 102329277 117098451 137922069 157828347 164616663 306987831 403339109 413766207 493849989 1057402529 1210017327 1262061083 1701038851 3172207587 3630051981 3786183249 5103116553 9516622761 11358549747 15309349659 39123893573 117371680719 352115042157