Search a number
-
+
152774047140 = 2235111317805833
BaseRepresentation
bin1000111001001000001…
…0101111010110100100
3112121100002022201011020
42032102002233112210
510000340124002030
6154103342011140
714015611655151
oct2162202572644
9477302281136
10152774047140
1159877a6a8a0
1225737876ab0
13115391c0880
147573d7b228
153e923de510
hex23920af5a4

152774047140 has 96 divisors (see below), whose sum is σ = 502551858816. Its totient is φ = 34187197440.

The previous prime is 152774047121. The next prime is 152774047141. The reversal of 152774047140 is 41740477251.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 152774047092 and 152774047101.

It is not an unprimeable number, because it can be changed into a prime (152774047141) 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 31 ways as a sum of consecutive naturals, for example, 8894337 + ... + 8911496.

It is an arithmetic number, because the mean of its divisors is an integer number (5234915196).

Almost surely, 2152774047140 is an apocalyptic number.

152774047140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152774047140 is an abundant number, since it is smaller than the sum of its proper divisors (349777811676).

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

152774047140 is a wasteful number, since it uses less digits than its factorization.

152774047140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17805869 (or 17805867 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 42.

The spelling of 152774047140 in words is "one hundred fifty-two billion, seven hundred seventy-four million, forty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 8580 17805833 35611666 53417499 71223332 89029165 106834998 178058330 195864163 213669996 231475829 267087495 356116660 391728326 462951658 534174990 587592489 694427487 783456652 925903316 979320815 1068349980 1157379145 1175184978 1388854974 1958641630 2314758290 2350369956 2546234119 2777709948 2937962445 3472137435 3917283260 4629516580 5092468238 5875924890 6944274870 7638702357 10184936476 11751849780 12731170595 13888549740 15277404714 25462341190 30554809428 38193511785 50924682380 76387023570 152774047140