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47025441972 = 22341631735147
BaseRepresentation
bin101011110010111011…
…110100110010110100
311111101021122222010000
4223302323310302310
51232302003120342
633334142231300
73253222442625
oct536273646264
9144337588100
1047025441972
1118a416aa633
129144885530
134585725912
1423c166ba4c
15135367944c
hexaf2ef4cb4

47025441972 has 120 divisors (see below), whose sum is σ = 124427118816. Its totient is φ = 15485919552.

The previous prime is 47025441949. The next prime is 47025441989. The reversal of 47025441972 is 27914452074.

47025441972 is a `hidden beast` number, since 470 + 2 + 54 + 41 + 97 + 2 = 666.

It is a super-2 number, since 2×470254419722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9133903 + ... + 9139049.

Almost surely, 247025441972 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 47025441972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62213559408).

47025441972 is an abundant number, since it is smaller than the sum of its proper divisors (77401676844).

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

47025441972 is a wasteful number, since it uses less digits than its factorization.

47025441972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5499 (or 5488 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 47025441972 in words is "forty-seven billion, twenty-five million, four hundred forty-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 163 173 324 326 346 489 519 652 692 978 1038 1467 1557 1956 2076 2934 3114 4401 4671 5147 5868 6228 8802 9342 10294 13203 14013 15441 17604 18684 20588 26406 28026 28199 30882 46323 52812 56052 56398 61764 84597 92646 112796 138969 169194 185292 253791 277938 338388 416907 507582 555876 761373 833814 838961 890431 1015164 1522746 1667628 1677922 1780862 2284119 2516883 2671293 3045492 3355844 3561724 4568238 5033766 5342586 7550649 8013879 9136476 10067532 10685172 15101298 16027758 22651947 24041637 30202596 32055516 45303894 48083274 67955841 72124911 90607788 96166548 135911682 144249822 145140253 271823364 288499644 290280506 435420759 580561012 870841518 1306262277 1741683036 2612524554 3918786831 5225049108 7837573662 11756360493 15675147324 23512720986 47025441972