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23146673004 = 223271319313659
BaseRepresentation
bin10101100011101001…
…100011001101101100
32012202010112211010100
4111203221203031230
5334401022014004
614344453311100
71446411321450
oct254351431554
965663484110
1023146673004
1198a876a024
12459b935490
13224b594920
14119818c660
15907133739
hex563a6336c

23146673004 has 144 divisors (see below), whose sum is σ = 72068855040. Its totient is φ = 6099788160.

The previous prime is 23146672981. The next prime is 23146673021. The reversal of 23146673004 is 40037664132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23146673004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6324127 + ... + 6327785.

It is an arithmetic number, because the mean of its divisors is an integer number (500478160).

Almost surely, 223146673004 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 23146673004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36034427520).

23146673004 is an abundant number, since it is smaller than the sum of its proper divisors (48922182036).

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

23146673004 is a wasteful number, since it uses less digits than its factorization.

23146673004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5620 (or 5615 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 23146673004 in words is "twenty-three billion, one hundred forty-six million, six hundred seventy-three thousand, four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 1931 3276 3659 3862 5793 7318 7724 10977 11586 13517 14636 17379 21954 23172 25103 25613 27034 32931 34758 40551 43908 47567 50206 51226 54068 65862 69516 75309 76839 81102 95134 100412 102452 121653 131724 142701 150618 153678 162204 175721 190268 225927 230517 243306 285402 301236 307356 332969 351442 428103 451854 461034 486612 527163 570804 665938 702884 856206 903708 922068 998907 1054326 1331876 1581489 1712412 1997814 2108652 2996721 3162978 3995628 5993442 6325956 7065529 11986884 14131058 21196587 28262116 42393174 49458703 63589761 84786348 91851877 98917406 127179522 148376109 183703754 197834812 254359044 275555631 296752218 367407508 445128327 551111262 593504436 642963139 826666893 890256654 1102222524 1285926278 1653333786 1780513308 1928889417 2571852556 3306667572 3857778834 5786668251 7715557668 11573336502 23146673004