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6150400463004 = 2237254736715209
BaseRepresentation
bin101100110000000000001…
…1011110101000010011100
3210202222020222112200201220
41121200000123311002130
51301232010004304004
621025242134533340
71203231441233100
oct131400033650234
923688228480656
106150400463004
111a614087a2366
12833ba4807250
13357c988834c5
14173976825900
15a9ebccbcdd9
hex598006f509c

6150400463004 has 144 divisors (see below), whose sum is σ = 16732230600960. Its totient is φ = 1753230286080.

The previous prime is 6150400462957. The next prime is 6150400463021. The reversal of 6150400463004 is 4003640040516.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1180723152 + ... + 1180728360.

It is an arithmetic number, because the mean of its divisors is an integer number (116196045840).

Almost surely, 26150400463004 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 6150400463004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8366115300480).

6150400463004 is an abundant number, since it is smaller than the sum of its proper divisors (10581830137956).

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

6150400463004 is a wasteful number, since it uses less digits than its factorization.

6150400463004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9448 (or 9439 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 6150400463004 in words is "six trillion, one hundred fifty billion, four hundred million, four hundred sixty-three thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 547 588 1094 1641 2188 3282 3671 3829 5209 6564 7342 7658 10418 11013 11487 14684 15316 15627 20836 22026 22974 25697 26803 31254 36463 44052 45948 51394 53606 62508 72926 77091 80409 102788 107212 109389 145852 154182 160818 179879 218778 255241 308364 321636 359758 437556 510482 539637 719516 765723 1020964 1079274 1531446 2008037 2158548 2849323 3062892 4016074 5698646 6024111 8032148 8547969 11397292 12048222 14056259 17095938 19122239 19945261 24096444 28112518 34191876 38244478 39890522 42168777 56225036 57366717 59835783 76488956 79781044 84337554 98393813 114733434 119671566 133855673 139616827 168675108 196787626 229466868 239343132 267711346 279233654 295181439 393575252 401567019 418850481 535422692 558467308 590362878 803134038 837700962 936989711 1180725756 1606268076 1675401924 1873979422 2810969133 3747958844 5621938266 10459864733 11243876532 20919729466 31379594199 41839458932 62759188398 73219053131 125518376796 146438106262 219657159393 292876212524 439314318786 512533371917 878628637572 1025066743834 1537600115751 2050133487668 3075200231502 6150400463004