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146816266949472 = 2536125071083837
BaseRepresentation
bin100001011000011101010011…
…011100000101001101100000
3201020211111110002001111010010
4201120131103130011031200
5123220414203314340342
61240130243435404520
742632060650300041
oct4130352334051540
9636744402044103
10146816266949472
114286447a22328a
1214571b868b3740
1363bc939b9b543
142837d33a228c8
1511e90648dd29c
hex858753705360

146816266949472 has 48 divisors (see below), whose sum is σ = 391710613884912. Its totient is φ = 48136480965120.

The previous prime is 146816266949353. The next prime is 146816266949483. The reversal of 146816266949472 is 274949662618641.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 146816266949394 and 146816266949403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12535536063 + ... + 12535547774.

It is an arithmetic number, because the mean of its divisors is an integer number (8160637789269).

Almost surely, 2146816266949472 is an apocalyptic number.

146816266949472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146816266949472 is an abundant number, since it is smaller than the sum of its proper divisors (244894346935440).

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

146816266949472 is a wasteful number, since it uses less digits than its factorization.

146816266949472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25071083911 (or 25071083903 counting only the distinct ones).

The product of its digits is 1504935936, while the sum is 75.

The spelling of 146816266949472 in words is "one hundred forty-six trillion, eight hundred sixteen billion, two hundred sixty-six million, nine hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 25071083837 50142167674 75213251511 100284335348 150426503022 200568670696 300853006044 401137341392 601706012088 802274682784 1203412024176 1529336114057 2406824048352 3058672228114 4588008342171 6117344456228 9176016684342 12234688912456 18352033368684 24469377824912 36704066737368 48938755649824 73408133474736 146816266949472