Search a number
-
+
47555536416 = 2533753252611
BaseRepresentation
bin101100010010100001…
…111110011000100000
311112202020010112222120
4230102201332120200
51234343204131131
633502520104240
73302320250523
oct542241763040
9145666115876
1047555536416
1119193951413
129272305080
13463b4b697b
142431c18bba
151384e89496
hexb1287e620

47555536416 has 96 divisors (see below), whose sum is σ = 130626675648. Its totient is φ = 15132349440.

The previous prime is 47555536409. The next prime is 47555536421. The reversal of 47555536416 is 61463555574.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61951 + ... + 314561.

It is an arithmetic number, because the mean of its divisors is an integer number (1360694538).

Almost surely, 247555536416 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 47555536416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65313337824).

47555536416 is an abundant number, since it is smaller than the sum of its proper divisors (83071139232).

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

47555536416 is a wasteful number, since it uses less digits than its factorization.

47555536416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252714 (or 252706 counting only the distinct ones).

The product of its digits is 7560000, while the sum is 51.

The spelling of 47555536416 in words is "forty-seven billion, five hundred fifty-five million, five hundred thirty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 53 74 96 106 111 148 159 212 222 296 318 424 444 592 636 848 888 1184 1272 1696 1776 1961 2544 3552 3922 5088 5883 7844 11766 15688 23532 31376 47064 62752 94128 188256 252611 505222 757833 1010444 1515666 2020888 3031332 4041776 6062664 8083552 9346607 12125328 13388383 18693214 24250656 26776766 28039821 37386428 40165149 53553532 56079642 74772856 80330298 107107064 112159284 149545712 160660596 214214128 224318568 299091424 321321192 428428256 448637136 495370171 642642384 897274272 990740342 1285284768 1486110513 1981480684 2972221026 3962961368 5944442052 7925922736 11888884104 15851845472 23777768208 47555536416