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46516614416 = 2419799672003
BaseRepresentation
bin101011010100100110…
…110011010100010000
311110001211012211220222
4223110212303110100
51230231223130131
633211444252212
73234503461436
oct532446632420
9143054184828
1046516614416
1118800463998
1290223a1068
13450419c81c
142373c58d56
151323b6a87b
hexad49b3510

46516614416 has 80 divisors (see below), whose sum is σ = 96217651200. Its totient is φ = 21721924224.

The previous prime is 46516614379. The next prime is 46516614427. The reversal of 46516614416 is 61441661564.

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, 23222471 + ... + 23224473.

It is an arithmetic number, because the mean of its divisors is an integer number (1202720640).

Almost surely, 246516614416 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 46516614416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48108825600).

46516614416 is an abundant number, since it is smaller than the sum of its proper divisors (49701036784).

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

46516614416 is a wasteful number, since it uses less digits than its factorization.

46516614416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3076 (or 3070 counting only the distinct ones).

The product of its digits is 414720, while the sum is 44.

The spelling of 46516614416 in words is "forty-six billion, five hundred sixteen million, six hundred fourteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 38 76 79 152 158 304 316 632 967 1264 1501 1934 2003 3002 3868 4006 6004 7736 8012 12008 15472 16024 18373 24016 32048 36746 38057 73492 76114 76393 146984 152228 152786 158237 293968 304456 305572 316474 608912 611144 632948 1222288 1265896 1451467 1936901 2531792 2902934 3006503 3873802 5805868 6013006 7747604 11611736 12026012 15495208 23223472 24052024 30990416 36801119 48104048 73602238 147204476 153015179 294408952 306030358 588817904 612060716 1224121432 2448242864 2907288401 5814576802 11629153604 23258307208 46516614416