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134666400995792 = 24192433803142573
BaseRepresentation
bin11110100111101001110110…
…111111101001100111010000
3122122210222112000202010102122
4132213221312333221213100
5120122333242123331132
61154224520210033412
740236216645545621
oct3647516677514720
9578728460663378
10134666400995792
11399aa777686316
121312b301278868
135a1acaa933973
142537c623c7a48
151087eaea6a912
hex7a7a76fe99d0

134666400995792 has 120 divisors (see below), whose sum is σ = 281851394847264. Its totient is φ = 62289054390528.

The previous prime is 134666400995779. The next prime is 134666400995807. The reversal of 134666400995792 is 297599004666431.

It is a Smith number, since the sum of its digits (71) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 944472218 + ... + 944614790.

Almost surely, 2134666400995792 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 134666400995792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140925697423632).

134666400995792 is an abundant number, since it is smaller than the sum of its proper divisors (147184993851472).

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

134666400995792 is a wasteful number, since it uses less digits than its factorization.

134666400995792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146465 (or 146440 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 71.

The spelling of 134666400995792 in words is "one hundred thirty-four trillion, six hundred sixty-six billion, four hundred million, nine hundred ninety-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 19 38 43 76 86 152 172 304 344 361 688 722 817 1444 1634 2888 3268 3803 5776 6536 7606 13072 15212 15523 30424 31046 60848 62092 72257 124184 142573 144514 163529 248368 285146 289028 327058 570292 578056 654116 1140584 1156112 1308232 1372883 2281168 2616464 2708887 2745766 3107051 5417774 5491532 6130639 6214102 10835548 10983064 12261278 12428204 21671096 21966128 24522556 24856408 43342192 49045112 49712816 51468853 59033969 98090224 102937706 116482141 118067938 205875412 232964282 236135876 411750824 465928564 472271752 542205119 823501648 931857128 944543504 1084410238 1863714256 2168820476 2213160679 4337640952 4426321358 8675281904 8852642716 10301897261 17705285432 20603794522 23314820117 35410570864 41207589044 46629640234 82415178088 93259280468 164830356176 186518560936 195736047959 373037121872 391472095918 442981582223 782944191836 885963164446 1565888383672 1771926328892 3131776767344 3543852657784 7087705315568 8416650062237 16833300124474 33666600248948 67333200497896 134666400995792