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47371957801 = 72172312592
BaseRepresentation
bin101100000111100101…
…101011011000101001
311112021102200210110121
4230013211223120221
51234004210122201
633432401243241
73264630666100
oct540745533051
9145242623417
1047371957801
11190aa265053
129220933521
13460c45bc7c
1424156ad037
151373cc59a1
hexb0796b629

47371957801 has 81 divisors (see below), whose sum is σ = 61530211287. Its totient is φ = 36356423040.

The previous prime is 47371957799. The next prime is 47371957813. The reversal of 47371957801 is 10875917374.

The square root of 47371957801 is 217651.

It is a perfect power (a square), and thus also a powerful number.

47371957801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 36881282025 + 10490675776 = 192045^2 + 102424^2 .

It is not a de Polignac number, because 47371957801 - 21 = 47371957799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47371957891) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 802914510 + ... + 802914568.

Almost surely, 247371957801 is an apocalyptic number.

47371957801 is the 217651-st square number.

47371957801 is the 108826-th centered octagonal number.

It is an amenable number.

47371957801 is a deficient number, since it is larger than the sum of its proper divisors (14158253486).

47371957801 is an equidigital number, since it uses as much as digits as its factorization.

47371957801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 52.

The spelling of 47371957801 in words is "forty-seven billion, three hundred seventy-one million, nine hundred fifty-seven thousand, eight hundred one".

Divisors: 1 7 17 31 49 59 119 217 289 413 527 833 961 1003 1519 1829 2023 2891 3481 3689 6727 7021 8959 12803 14161 16337 17051 24367 25823 31093 47089 49147 56699 59177 62713 89621 107911 114359 119357 170569 217651 277729 396893 414239 438991 528581 755377 800513 835499 963883 1006009 1523557 1834487 1944103 2778251 2899673 3345241 3700067 5287639 6747181 7042063 12841409 13608721 16386011 23416687 25900469 31186279 47230267 49294441 56869097 89889863 114702077 163916809 218303953 398083679 802914539 966774649 1528127671 2786585753 6767422543 47371957801