Search a number
-
+
455625140616 = 23344721170901
BaseRepresentation
bin1101010000101010101…
…11111110100110001000
31121120001022002021220000
412220111113332212020
524431110013444431
6545151124003000
744626546536432
oct6502527764610
91546038067800
10455625140616
11166258571898
1274377b30460
1333c718c8729
14180a3a03652
15bcba02b9e6
hex6a155fe988

455625140616 has 160 divisors (see below), whose sum is σ = 1309520234880. Its totient is φ = 147937104000.

The previous prime is 455625140567. The next prime is 455625140623. The reversal of 455625140616 is 616041526554.

455625140616 is a `hidden beast` number, since 4 + 5 + 5 + 6 + 25 + 1 + 4 + 0 + 616 = 666.

It is a super-2 number, since 2×4556251406162 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6390766 + ... + 6461666.

It is an arithmetic number, because the mean of its divisors is an integer number (8184501468).

Almost surely, 2455625140616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455625140616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654760117440).

455625140616 is an abundant number, since it is smaller than the sum of its proper divisors (853895094264).

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

455625140616 is a wasteful number, since it uses less digits than its factorization.

455625140616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71177 (or 71164 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 455625140616 in words is "four hundred fifty-five billion, six hundred twenty-five million, one hundred forty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 188 211 216 282 324 376 422 423 564 633 648 844 846 1128 1266 1269 1688 1692 1899 2532 2538 3384 3798 3807 5064 5076 5697 7596 7614 9917 10152 11394 15192 15228 17091 19834 22788 29751 30456 34182 39668 45576 59502 68364 70901 79336 89253 119004 136728 141802 178506 212703 238008 267759 283604 357012 425406 535518 567208 638109 714024 803277 850812 1071036 1276218 1606554 1701624 1914327 2142072 2552436 3213108 3332347 3828654 5104872 5742981 6426216 6664694 7657308 9997041 11485962 13329388 14960111 15314616 19994082 22971924 26658776 29920222 29991123 39988164 44880333 45943848 59840444 59982246 79976328 89760666 89973369 119680888 119964492 134640999 179521332 179946738 239928984 269281998 269920107 359042664 359893476 403922997 538563996 539840214 703125217 719786952 807845994 1077127992 1079680428 1211768991 1406250434 1615691988 2109375651 2159360856 2423537982 2812500868 3231383976 4218751302 4847075964 5625001736 6328126953 8437502604 9694151928 12656253906 16875005208 18984380859 25312507812 37968761718 50625015624 56953142577 75937523436 113906285154 151875046872 227812570308 455625140616