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46454233344 = 283434992819
BaseRepresentation
bin101011010000111000…
…110101100100000000
311102220110211120011220
4223100320311210000
51230114240431334
633201335235040
73233115316431
oct532070654400
9142813746156
1046454233344
1118779227092
129005518a80
1344c429ab4c
14236985b488
15131d447449
hexad0e35900

46454233344 has 144 divisors (see below), whose sum is σ = 126809760000. Its totient is φ = 15088969728.

The previous prime is 46454233313. The next prime is 46454233373. The reversal of 46454233344 is 44333245464.

It is a junction number, because it is equal to n+sod(n) for n = 46454233296 and 46454233305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16477567 + ... + 16480385.

Almost surely, 246454233344 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 46454233344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63404880000).

46454233344 is an abundant number, since it is smaller than the sum of its proper divisors (80355526656).

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

46454233344 is a wasteful number, since it uses less digits than its factorization.

46454233344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380 (or 3366 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 42.

The spelling of 46454233344 in words is "forty-six billion, four hundred fifty-four million, two hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 499 516 688 768 998 1032 1376 1497 1996 2064 2752 2819 2994 3992 4128 5504 5638 5988 7984 8256 8457 11008 11276 11976 15968 16512 16914 21457 22552 23952 31936 33024 33828 42914 45104 47904 63872 64371 67656 85828 90208 95808 121217 127744 128742 135312 171656 180416 191616 242434 257484 270624 343312 360832 363651 383232 484868 514968 541248 686624 721664 727302 969736 1029936 1082496 1373248 1406681 1454604 1939472 2059872 2164992 2746496 2813362 2909208 3878944 4119744 4220043 5492992 5626724 5818416 7757888 8239488 8440086 11253448 11636832 15515776 16478976 16880172 22506896 23273664 31031552 33760344 45013792 46547328 60487283 67520688 90027584 93094656 120974566 135041376 180055168 181461849 241949132 270082752 360110336 362923698 483898264 540165504 725847396 967796528 1080331008 1451694792 1935593056 2903389584 3871186112 5806779168 7742372224 11613558336 15484744448 23227116672 46454233344