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2427400775317 = 721719974013943
BaseRepresentation
bin100011010100101100010…
…111000110011010010101
322121001112201210211101011
4203110230113012122111
5304232304044302232
65055044342532221
7340242153103300
oct43245427063225
98531481724334
102427400775317
11856500501241
12332543737071
13147b9790671b
14856b5bbbb37
1543220224547
hex2352c5c6695

2427400775317 has 96 divisors (see below), whose sum is σ = 3188352948480. Its totient is φ = 1831005388800.

The previous prime is 2427400775297. The next prime is 2427400775339. The reversal of 2427400775317 is 7135770047242.

It is a de Polignac number, because none of the positive numbers 2k-2427400775317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2427400775617) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 615620848 + ... + 615624790.

It is an arithmetic number, because the mean of its divisors is an integer number (33212009880).

Almost surely, 22427400775317 is an apocalyptic number.

It is an amenable number.

2427400775317 is a deficient number, since it is larger than the sum of its proper divisors (760952173163).

2427400775317 is a wasteful number, since it uses less digits than its factorization.

2427400775317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4491 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 2304960, while the sum is 49.

The spelling of 2427400775317 in words is "two trillion, four hundred twenty-seven billion, four hundred million, seven hundred seventy-five thousand, three hundred seventeen".

Divisors: 1 7 17 19 49 97 119 133 323 401 679 833 931 1649 1843 2261 2807 3943 4753 6817 7619 11543 12901 15827 19649 27601 31331 38897 47719 53333 67031 74917 80801 90307 129523 193207 219317 272279 334033 373331 382471 469217 524419 661249 739043 906661 1273589 1535219 1581143 1905953 2677297 3284519 3670933 4628743 5173301 6346627 6502007 7266949 8915123 11068001 12563731 18741079 26879431 30041717 32401201 36213107 45514049 50868643 62405861 77476007 87946117 123538133 153370871 188156017 210292019 318598343 356080501 510709189 615622819 864766931 1073596097 1317092119 1472044133 2607304807 2914046549 3574964323 6053368517 7515172679 18251133649 20398325843 25024750261 49538791333 127757935543 142788280901 346771539331 2427400775317