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46480285116 = 2232311072691447
BaseRepresentation
bin101011010010011100…
…001101110110111100
311102222021212010111100
4223102130031312330
51230142423110431
633204105453100
73233552622216
oct532234156674
9142867763440
1046480285116
1118791a00181
1290121a1190
1344c97bc9b5
14236d0bd5b6
1513208914e6
hexad270ddbc

46480285116 has 144 divisors (see below), whose sum is σ = 122955356160. Its totient is φ = 14788068480.

The previous prime is 46480285073. The next prime is 46480285121. The reversal of 46480285116 is 61158208464.

It is a happy number.

It is a super-2 number, since 2×464802851162 (a number of 22 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 47 ways as a sum of consecutive naturals, for example, 32121105 + ... + 32122551.

It is an arithmetic number, because the mean of its divisors is an integer number (853856640).

Almost surely, 246480285116 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 46480285116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61477678080).

46480285116 is an abundant number, since it is smaller than the sum of its proper divisors (76475071044).

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

46480285116 is a wasteful number, since it uses less digits than its factorization.

46480285116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1864 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 46480285116 in words is "forty-six billion, four hundred eighty million, two hundred eighty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 107 124 186 214 269 279 321 372 428 538 558 642 807 963 1076 1116 1284 1447 1614 1926 2421 2894 3228 3317 3852 4341 4842 5788 6634 8339 8682 9684 9951 13023 13268 16678 17364 19902 25017 26046 28783 29853 33356 39804 44857 50034 52092 57566 59706 75051 86349 89714 100068 115132 119412 134571 150102 154829 172698 179428 259047 269142 300204 309658 345396 389243 403713 464487 518094 538284 619316 778486 807426 892273 928974 1036188 1167729 1393461 1556972 1614852 1784546 1857948 2335458 2676819 2786922 3503187 3569092 4670916 4799699 5353638 5573844 7006374 8030457 9599398 10707276 12066533 14012748 14399097 16060914 19198796 24133066 28798194 32121828 36199599 41649001 43197291 48266132 57596388 72399198 83298002 86394582 108598797 124947003 144798396 166596004 172789164 217197594 249894006 374841009 434395188 499788012 749682018 1291119031 1499364036 2582238062 3873357093 5164476124 7746714186 11620071279 15493428372 23240142558 46480285116