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46541246016 = 26319101126317
BaseRepresentation
bin101011010110000100…
…110000111001000000
311110010112120021010110
4223112010300321000
51230304024333031
633214124231320
73235223030616
oct532604607100
9143115507113
1046541246016
1118813357a91
12902a69b540
134509315135
14237722b6b6
151325dd3c46
hexad6130e40

46541246016 has 112 divisors (see below), whose sum is σ = 130905869760. Its totient is φ = 14551603200.

The previous prime is 46541245973. The next prime is 46541246023. The reversal of 46541246016 is 61064214564.

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, 305290 + ... + 431606.

Almost surely, 246541246016 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 46541246016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65452934880).

46541246016 is an abundant number, since it is smaller than the sum of its proper divisors (84364623744).

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

46541246016 is a wasteful number, since it uses less digits than its factorization.

46541246016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126452 (or 126442 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 46541246016 in words is "forty-six billion, five hundred forty-one million, two hundred forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 101 114 152 192 202 228 303 304 404 456 606 608 808 912 1212 1216 1616 1824 1919 2424 3232 3648 3838 4848 5757 6464 7676 9696 11514 15352 19392 23028 30704 46056 61408 92112 122816 126317 184224 252634 368448 378951 505268 757902 1010536 1515804 2021072 2400023 3031608 4042144 4800046 6063216 7200069 8084288 9600092 12126432 12758017 14400138 19200184 24252864 25516034 28800276 38274051 38400368 51032068 57600552 76548102 76800736 102064136 115201104 153096204 153601472 204128272 230402208 242402323 306192408 408256544 460804416 484804646 612384816 727206969 816513088 969609292 1224769632 1454413938 1939218584 2449539264 2908827876 3878437168 5817655752 7756874336 11635311504 15513748672 23270623008 46541246016