Search a number
-
+
47633408332080 = 2435206995926793
BaseRepresentation
bin10101101010010100001000…
…11000100001000100110000
320020122201011010102011012120
422311022010120201010300
522220411210013111310
6245150252524354240
713014254156230104
oct1265120430410460
9206581133364176
1047633408332080
11141a524022630a
1254138100a5980
132076a71097b0c
14ba967d939904
155790c3213b70
hex2b5284621130

47633408332080 has 80 divisors (see below), whose sum is σ = 147734936903520. Its totient is φ = 12696102774784.

The previous prime is 47633408332067. The next prime is 47633408332099. The reversal of 47633408332080 is 8023380433674.

It is a tau number, because it is divible by the number of its divisors (80).

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, 47466837 + ... + 48459956.

It is an arithmetic number, because the mean of its divisors is an integer number (1846686711294).

Almost surely, 247633408332080 is an apocalyptic number.

47633408332080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47633408332080 is an abundant number, since it is smaller than the sum of its proper divisors (100101528571440).

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

47633408332080 is a wasteful number, since it uses less digits than its factorization.

47633408332080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95928878 (or 95928872 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 51.

The spelling of 47633408332080 in words is "forty-seven trillion, six hundred thirty-three billion, four hundred eight million, three hundred thirty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2069 4138 6207 8276 10345 12414 16552 20690 24828 31035 33104 41380 49656 62070 82760 99312 124140 165520 248280 496560 95926793 191853586 287780379 383707172 479633965 575560758 767414344 959267930 1151121516 1438901895 1534828688 1918535860 2302243032 2877803790 3837071720 4604486064 5755607580 7674143440 11511215160 23022430320 198472534717 396945069434 595417604151 793890138868 992362673585 1190835208302 1587780277736 1984725347170 2381670416604 2977088020755 3175560555472 3969450694340 4763340833208 5954176041510 7938901388680 9526681666416 11908352083020 15877802777360 23816704166040 47633408332080