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46474732032 = 293192775749
BaseRepresentation
bin101011010010000111…
…000010001000000000
311102221220102000002120
4223102013002020000
51230140012411112
633203350444240
73233454463401
oct532207021000
9142856360076
1046474732032
1118789858053
129010363680
1344c85c7251
14236c4759a8
151320145e8c
hexad21c2200

46474732032 has 160 divisors (see below), whose sum is σ = 130821240000. Its totient is φ = 14620704768.

The previous prime is 46474732019. The next prime is 46474732037. The reversal of 46474732032 is 23023747464.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (46474732037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8081094 + ... + 8086842.

It is an arithmetic number, because the mean of its divisors is an integer number (817632750).

Almost surely, 246474732032 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 46474732032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65410620000).

46474732032 is an abundant number, since it is smaller than the sum of its proper divisors (84346507968).

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

46474732032 is a wasteful number, since it uses less digits than its factorization.

46474732032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6066 (or 6050 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 42.

The spelling of 46474732032 in words is "forty-six billion, four hundred seventy-four million, seven hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 277 304 384 456 512 554 608 768 831 912 1108 1216 1536 1662 1824 2216 2432 3324 3648 4432 4864 5263 5749 6648 7296 8864 9728 10526 11498 13296 14592 15789 17247 17728 21052 22996 26592 29184 31578 34494 35456 42104 45992 53184 63156 68988 70912 84208 91984 106368 109231 126312 137976 141824 168416 183968 212736 218462 252624 275952 327693 336832 367936 425472 436924 505248 551904 655386 673664 735872 873848 1010496 1103808 1310772 1347328 1471744 1592473 1747696 2020992 2207616 2621544 2694656 2943488 3184946 3495392 4041984 4415232 4777419 5243088 6369892 6990784 8083968 8830464 9554838 10486176 12739784 13981568 19109676 20972352 25479568 27963136 30256987 38219352 41944704 50959136 55926272 60513974 76438704 83889408 90770961 101918272 121027948 152877408 167778816 181541922 203836544 242055896 305754816 363083844 407673088 484111792 611509632 726167688 815346176 968223584 1223019264 1452335376 1936447168 2446038528 2904670752 3872894336 5809341504 7745788672 11618683008 15491577344 23237366016 46474732032