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147480000976 = 247111139711091
BaseRepresentation
bin1000100101011001111…
…1100011100111010000
3112002200010122022002101
42021112133203213100
54404014340012401
6151430144130144
713440456216220
oct2112637434720
9462603568071
10147480000976
1157600685630
12246ba906954
1310ba446a189
1471d0c16080
153c82753101
hex22567e39d0

147480000976 has 160 divisors (see below), whose sum is σ = 360102951936. Its totient is φ = 56840448000.

The previous prime is 147480000973. The next prime is 147480000977. The reversal of 147480000976 is 679000084741.

147480000976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147480000973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135178191 + ... + 135179281.

Almost surely, 2147480000976 is an apocalyptic number.

147480000976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

147480000976 is the 192016-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147480000976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180051475968).

147480000976 is an abundant number, since it is smaller than the sum of its proper divisors (212622950960).

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

147480000976 is a wasteful number, since it uses less digits than its factorization.

147480000976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 147480000976 in words is "one hundred forty-seven billion, four hundred eighty million, nine hundred seventy-six", and thus it is an aban number.

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 113 154 176 226 308 452 616 791 904 971 1091 1232 1243 1582 1808 1942 2182 2486 3164 3884 4364 4972 6328 6797 7637 7768 8701 8728 9944 10681 12001 12656 13594 15274 15536 17402 17456 19888 21362 24002 27188 30548 34804 42724 48004 54376 61096 69608 74767 84007 85448 96008 108752 109723 122192 123283 139216 149534 168014 170896 192016 219446 246566 299068 336028 438892 493132 598136 672056 768061 862981 877784 986264 1059361 1196272 1206953 1344112 1356113 1536122 1725962 1755568 1972528 2118722 2413906 2712226 3072244 3451924 4237444 4827812 5424452 6144488 6903848 7415527 8448671 8474888 9492791 9655624 10848904 11652971 12288976 13807696 14831054 16897342 16949776 18985582 19311248 21697808 23305942 29662108 33794684 37971164 46611884 59324216 67589368 75942328 81570797 93223768 118648432 119707793 135178736 151884656 163141594 186447536 239415586 326283188 478831172 652566376 837954551 957662344 1305132752 1316785723 1675909102 1915324688 2633571446 3351818204 5267142892 6703636408 9217500061 10534285784 13407272816 18435000122 21068571568 36870000244 73740000488 147480000976