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47933180320 = 255372218833
BaseRepresentation
bin101100101001000010…
…100100100110100000
311120201112201212000211
4230221002210212200
51241131343232240
634004210223504
73314554211254
oct545102444640
9146645655024
1047933180320
1119368037913
129358884b94
13469b7cb5bc
14246a040264
1513a81d3bea
hexb290a49a0

47933180320 has 72 divisors (see below), whose sum is σ = 116385987564. Its totient is φ = 18654990336.

The previous prime is 47933180293. The next prime is 47933180341. The reversal of 47933180320 is 2308133974.

It can be written as a sum of positive squares in 6 ways, for example, as 37755598864 + 10177581456 = 194308^2 + 100884^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109624 + ... + 328456.

Almost surely, 247933180320 is an apocalyptic number.

47933180320 is a gapful number since it is divisible by the number (40) 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 47933180320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58192993782).

47933180320 is an abundant number, since it is smaller than the sum of its proper divisors (68452807244).

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

47933180320 is a wasteful number, since it uses less digits than its factorization.

47933180320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218922 (or 218877 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 47933180320 in words is "forty-seven billion, nine hundred thirty-three million, one hundred eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1369 1480 2738 2960 5476 5920 6845 10952 13690 21904 27380 43808 54760 109520 218833 219040 437666 875332 1094165 1750664 2188330 3501328 4376660 7002656 8096821 8753320 16193642 17506640 32387284 35013280 40484105 64774568 80968210 129549136 161936420 259098272 299582377 323872840 599164754 647745680 1198329508 1295491360 1497911885 2396659016 2995823770 4793318032 5991647540 9586636064 11983295080 23966590160 47933180320