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47233208060164 = 227419236912
BaseRepresentation
bin10101011110101010101101…
…00101101000100100000100
320012020110011110222220210101
422233111112211220210010
522142332102230411124
6244242345231533444
712643325633110000
oct1257252645504404
9205213143886711
1047233208060164
1114060544645735
12536a14198a284
1320480c31087a9
14b94156d23700
1556d99de5a644
hex2af556968904

47233208060164 has 135 divisors (see below), whose sum is σ = 101798620765191. Its totient is φ = 19172197028880.

The previous prime is 47233208060099. The next prime is 47233208060201. The reversal of 47233208060164 is 46106080233274.

The square root of 47233208060164 is 6872642.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12796857559 + ... + 12796861249.

Almost surely, 247233208060164 is an apocalyptic number.

47233208060164 is the 6872642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47233208060164

47233208060164 is an abundant number, since it is smaller than the sum of its proper divisors (54565412705027).

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

47233208060164 is an frugal number, since it uses more digits than its factorization.

47233208060164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7452 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

The spelling of 47233208060164 in words is "forty-seven trillion, two hundred thirty-three billion, two hundred eight million, sixty thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 343 361 532 686 722 931 1372 1444 1862 2401 2527 3691 3724 4802 5054 6517 7382 9604 10108 13034 14764 17689 25837 26068 35378 45619 51674 70129 70756 91238 103348 123823 140258 180859 182476 247646 280516 361718 490903 495292 723436 866761 981806 1266013 1332451 1733522 1963612 2532026 2664902 3436321 3467044 5064052 5329804 6872642 8862091 9327157 13623481 13745284 17724182 18654314 24054247 27246962 35448364 37308628 48108494 54493924 65290099 95364367 96216988 130580198 168379729 190728734 258846139 261160396 336759458 381457468 457030693 517692278 667550569 673518916 914061386 1035384556 1335101138 1811922973 1828122772 2670202276 3199214851 3623845946 4672853983 4918076641 6398429702 7247691892 9345707966 9836153282 12683460811 12796859404 18691415932 19672306564 25366921622 32709977881 34426536487 50733843244 65419955762 68853072974 88784225677 130839911524 137706145948 177568451354 240985755409 355136902708 481971510818 621489579739 963943021636 1242979159478 1686900287863 2485958318956 3373800575726 6747601151452 11808302015041 23616604030082 47233208060164