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464634616445252 = 221126173461467641
BaseRepresentation
bin110100110100101010010110…
…1010000110111100101000100
32020221010122011022011000021022
41221221110231100313211010
5441400033143302222002
64324110110204210312
7166603512636566141
oct15151245520674504
92227118138130238
10464634616445252
11125057485a90600
1244141374b39998
1316c34b19471966
1482a4614b4b3c8
1538ab32ca73ba2
hex1a6952d437944

464634616445252 has 144 divisors (see below), whose sum is σ = 922844599342512. Its totient is φ = 204444725760000.

The previous prime is 464634616445221. The next prime is 464634616445269. The reversal of 464634616445252 is 252544616436464.

It can be written as a sum of positive squares in 8 ways, for example, as 24569628314176 + 440064988131076 = 4956776^2 + 20977726^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 993337352 + ... + 993804992.

Almost surely, 2464634616445252 is an apocalyptic number.

It is an amenable number.

464634616445252 is a deficient number, since it is larger than the sum of its proper divisors (458209982897260).

464634616445252 is a wasteful number, since it uses less digits than its factorization.

464634616445252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468262 (or 468249 counting only the distinct ones).

The product of its digits is 398131200, while the sum is 62.

The spelling of 464634616445252 in words is "four hundred sixty-four trillion, six hundred thirty-four billion, six hundred sixteen million, four hundred forty-five thousand, two hundred fifty-two".

Divisors: 1 2 4 11 22 44 61 73 121 122 146 242 244 292 461 484 671 803 922 1342 1606 1844 2684 3212 4453 5071 7381 8833 8906 10142 14762 17666 17812 20284 28121 29524 33653 35332 48983 55781 56242 67306 97966 111562 112484 134612 195932 223124 309331 370183 467641 538813 618662 740366 935282 1077626 1237324 1480732 1870564 2052833 2155252 3402641 4072013 4105666 5144051 6805282 8144026 8211332 10288102 13610564 16288052 20576204 22581163 28526101 34137793 45162326 56584561 57052202 68275586 90324652 113169122 114104404 136551172 215582501 226338244 248392793 313787111 375515723 431165002 496785586 627574222 751031446 862330004 993571172 1255148444 1502062892 2082405373 2371407511 3451658221 4130672953 4164810746 4742815022 6903316442 8261345906 8329621492 9485630044 13150532561 13806632884 15737522573 16522691812 22906459103 26085482621 26301065122 31475045146 45812918206 52170965242 52602130244 62950090292 91625836412 104341930484 144655858171 173112748303 251971050133 289311716342 346225496606 503942100266 578623432684 692450993212 959988876953 1007884200532 1591214439881 1904240231333 1919977753906 3182428879762 3808480462666 3839955507812 6364857759524 7616960925332 10559877646483 21119755292966 42239510585932 116158654111313 232317308222626 464634616445252