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47830129424 = 24711151257107
BaseRepresentation
bin101100100010111001…
…011101101100010000
311120110100211022202222
4230202321131230100
51240424003120144
633550045400212
73312163251320
oct544271355420
9146410738688
1047830129424
1119314952190
12932a269068
13468335a23c
14245a497280
15139e12a2ee
hexb22e5db10

47830129424 has 80 divisors (see below), whose sum is σ = 116303318016. Its totient is φ = 18511632000.

The previous prime is 47830129397. The next prime is 47830129447. The reversal of 47830129424 is 42492103874.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 15 ways as a sum of consecutive naturals, for example, 57479 + ... + 314585.

Almost surely, 247830129424 is an apocalyptic number.

47830129424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47830129424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58151659008).

47830129424 is an abundant number, since it is smaller than the sum of its proper divisors (68473188592).

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

47830129424 is a wasteful number, since it uses less digits than its factorization.

47830129424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257284 (or 257278 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 47830129424 in words is "forty-seven billion, eight hundred thirty million, one hundred twenty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 151 154 176 302 308 604 616 1057 1208 1232 1661 2114 2416 3322 4228 6644 8456 11627 13288 16912 23254 26576 46508 93016 186032 257107 514214 1028428 1799749 2056856 2828177 3599498 4113712 5656354 7198996 11312708 14397992 19797239 22625416 28795984 38823157 39594478 45250832 77646314 79188956 155292628 158377912 271762099 310585256 316755824 427054727 543524198 621170512 854109454 1087048396 1708218908 2174096792 2989383089 3416437816 4348193584 5978766178 6832875632 11957532356 23915064712 47830129424