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47970041808 = 24313612395273
BaseRepresentation
bin101100101011001111…
…001011111111010000
311120211010002121111010
4230223033023333100
51241220312314213
634012004250520
73315512425203
oct545317137720
9146733077433
1047970041808
1119386924457
1293690a0a40
1346a6336730
142470cb793a
1513ab565ac3
hexb2b3cbfd0

47970041808 has 160 divisors (see below), whose sum is σ = 136236280320. Its totient is φ = 14454558720.

The previous prime is 47970041807. The next prime is 47970041827. The reversal of 47970041808 is 80814007974.

It is a super-2 number, since 2×479700418082 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47970041807) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9094660 + ... + 9099932.

It is an arithmetic number, because the mean of its divisors is an integer number (851476752).

Almost surely, 247970041808 is an apocalyptic number.

47970041808 is a gapful number since it is divisible by the number (48) 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 47970041808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68118140160).

47970041808 is an abundant number, since it is smaller than the sum of its proper divisors (88266238512).

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

47970041808 is a wasteful number, since it uses less digits than its factorization.

47970041808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5597 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 47970041808 in words is "forty-seven billion, nine hundred seventy million, forty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 61 78 104 122 156 183 208 239 244 312 366 478 488 624 717 732 793 956 976 1434 1464 1586 1912 2379 2868 2928 3107 3172 3824 4758 5273 5736 6214 6344 9321 9516 10546 11472 12428 12688 14579 15819 18642 19032 21092 24856 29158 31638 37284 38064 42184 43737 49712 58316 63276 68549 74568 84368 87474 116632 126552 137098 149136 174948 189527 205647 233264 253104 274196 321653 349896 379054 411294 548392 568581 643306 699792 758108 822588 964959 1096784 1137162 1260247 1286612 1516216 1645176 1929918 2274324 2520494 2573224 3032432 3290352 3780741 3859836 4181489 4548648 5040988 5146448 7561482 7719672 8362978 9097296 10081976 12544467 15122964 15439344 16383211 16725956 20163952 25088934 30245928 32766422 33451912 49149633 50177868 60491856 65532844 66903824 76875067 98299266 100355736 131065688 153750134 196598532 200711472 230625201 262131376 307500268 393197064 461250402 615000536 786394128 922500804 999375871 1230001072 1845001608 1998751742 2998127613 3690003216 3997503484 5996255226 7995006968 11992510452 15990013936 23985020904 47970041808