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47883640752 = 24332328317029
BaseRepresentation
bin101100100110000101…
…100101111110110000
311120121002111222112000
4230212011211332300
51241031203001002
633555240334000
73313413142113
oct544605457660
9146532458460
1047883640752
1119342081022
129344174300
13469147494c
14246362657a
1513a3b9a61c
hexb26165fb0

47883640752 has 160 divisors (see below), whose sum is σ = 143934835200. Its totient is φ = 15212406528.

The previous prime is 47883640751. The next prime is 47883640769. The reversal of 47883640752 is 25704638874.

47883640752 is a `hidden beast` number, since 478 + 83 + 6 + 40 + 7 + 52 = 666.

47883640752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (47883640751) 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, 2803374 + ... + 2820402.

It is an arithmetic number, because the mean of its divisors is an integer number (899592720).

Almost surely, 247883640752 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 47883640752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71967417600).

47883640752 is an abundant number, since it is smaller than the sum of its proper divisors (96051194448).

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

47883640752 is a wasteful number, since it uses less digits than its factorization.

47883640752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17352 (or 17340 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 47883640752 in words is "forty-seven billion, eight hundred eighty-three million, six hundred forty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 283 368 414 432 552 566 621 828 849 1104 1132 1242 1656 1698 2264 2484 2547 3312 3396 4528 4968 5094 6509 6792 7641 9936 10188 13018 13584 15282 17029 19527 20376 26036 30564 34058 39054 40752 51087 52072 58581 61128 68116 78108 102174 104144 117162 122256 136232 153261 156216 175743 204348 234324 272464 306522 312432 351486 391667 408696 459783 468648 613044 702972 783334 817392 919566 937296 1175001 1226088 1405944 1566668 1839132 2350002 2452176 2811888 3133336 3525003 3678264 4700004 4819207 6266672 7050006 7356528 9400008 9638414 10575009 14100012 14457621 18800016 19276828 21150018 28200024 28915242 38553656 42300036 43372863 56400048 57830484 77107312 84600072 86745726 110841761 115660968 130118589 169200144 173491452 221683522 231321936 260237178 332525283 346982904 443367044 520474356 665050566 693965808 886734088 997575849 1040948712 1330101132 1773468176 1995151698 2081897424 2660202264 2992727547 3990303396 5320404528 5985455094 7980606792 11970910188 15961213584 23941820376 47883640752