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46134533078496 = 25322918911292093
BaseRepresentation
bin10100111110101100010000…
…11101001011110111100000
320001100102021221012001111200
422133112020131023313200
522021332010432002441
6242041524550041200
712501052510622442
oct1237261035136740
9201312257161450
1046134533078496
111377760021a615
125211221949200
131c986109b7b45
14b56ccd810492
155500e998c7b6
hex29f58874bde0

46134533078496 has 144 divisors (see below), whose sum is σ = 135726688056960. Its totient is φ = 14847059727360.

The previous prime is 46134533078483. The next prime is 46134533078549. The reversal of 46134533078496 is 69487033543164.

It is a happy number.

46134533078496 is a `hidden beast` number, since 4 + 6 + 1 + 3 + 4 + 533 + 0 + 7 + 8 + 4 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×461345330784962 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157798626 + ... + 158090718.

It is an arithmetic number, because the mean of its divisors is an integer number (942546444840).

Almost surely, 246134533078496 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 46134533078496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67863344028480).

46134533078496 is an abundant number, since it is smaller than the sum of its proper divisors (89592154978464).

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

46134533078496 is a wasteful number, since it uses less digits than its factorization.

46134533078496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311049 (or 311038 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 46134533078496 in words is "forty-six trillion, one hundred thirty-four billion, five hundred thirty-three million, seventy-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 18911 37822 56733 75644 113466 151288 170199 226932 292093 302576 340398 453864 548419 584186 605152 680796 876279 907728 1096838 1168372 1361592 1645257 1752558 1815456 2193676 2336744 2628837 2723184 3290514 3505116 4387352 4673488 4935771 5257674 5446368 6581028 7010232 8470697 8774704 9346976 9871542 10515348 13162056 14020464 16941394 17549408 19743084 21030696 25412091 26324112 28040928 33882788 39486168 42061392 50824182 52648224 67765576 76236273 78972336 84122784 101648364 135531152 152472546 157944672 203296728 271062304 304945092 406593456 609890184 813186912 1219780368 2439560736 5523770723 11047541446 16571312169 22095082892 33142624338 44190165784 49713936507 66285248676 88380331568 99427873014 132570497352 160189350967 176760663136 198855746028 265140994704 320378701934 397711492056 480568052901 530281989408 640757403868 795422984112 961136105802 1281514807736 1441704158703 1590845968224 1922272211604 2563029615472 2883408317406 3844544423208 5126059230944 5766816634812 7689088846416 11533633269624 15378177692832 23067266539248 46134533078496