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987473016 = 2332171942461
BaseRepresentation
bin111010110110111…
…010010001111000
32112211002211022200
4322312322101320
54010243114031
6241552550200
733320245035
oct7266722170
92484084280
10987473016
11467448102
12236852360
1312977237a
149520a38c
155ba598e6
hex3adba478

987473016 has 96 divisors (see below), whose sum is σ = 2980832400. Its totient is φ = 293483520.

The previous prime is 987472963. The next prime is 987473023. The reversal of 987473016 is 610374789.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2026 + ... + 44486.

Almost surely, 2987473016 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 987473016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490416200).

987473016 is an abundant number, since it is smaller than the sum of its proper divisors (1993359384).

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

987473016 is a wasteful number, since it uses less digits than its factorization.

987473016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42509 (or 42502 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 987473016 is about 31424.0833756531. The cubic root of 987473016 is about 995.8067801506.

The spelling of 987473016 in words is "nine hundred eighty-seven million, four hundred seventy-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 34 36 38 51 57 68 72 76 102 114 136 152 153 171 204 228 306 323 342 408 456 612 646 684 969 1224 1292 1368 1938 2584 2907 3876 5814 7752 11628 23256 42461 84922 127383 169844 254766 339688 382149 509532 721837 764298 806759 1019064 1443674 1528596 1613518 2165511 2420277 2887348 3057192 3227036 4331022 4840554 5774696 6454072 6496533 7260831 8662044 9681108 12993066 13714903 14521662 17324088 19362216 25986132 27429806 29043324 41144709 51972264 54859612 58086648 82289418 109719224 123434127 164578836 246868254 329157672 493736508 987473016