Search a number
-
+
41176313952 = 2533153261059
BaseRepresentation
bin100110010110010011…
…001011000001100000
310221021122111110212220
4212112103023001200
51133312114021302
630525515151040
72655246615354
oct462623130140
9127248443786
1041176313952
111650aa57134
127b91a45480
133b629a2917
141dc88d3464
15110ede44bc
hex9964cb060

41176313952 has 96 divisors (see below), whose sum is σ = 113680143360. Its totient is φ = 13032015360.

The previous prime is 41176313951. The next prime is 41176314019. The reversal of 41176313952 is 25931367114.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41176313951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27199 + ... + 288257.

It is an arithmetic number, because the mean of its divisors is an integer number (1184168160).

Almost surely, 241176313952 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 41176313952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56840071680).

41176313952 is an abundant number, since it is smaller than the sum of its proper divisors (72503829408).

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

41176313952 is a wasteful number, since it uses less digits than its factorization.

41176313952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261156 (or 261148 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The spelling of 41176313952 in words is "forty-one billion, one hundred seventy-six million, three hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 93 96 106 124 159 186 212 248 318 372 424 496 636 744 848 992 1272 1488 1643 1696 2544 2976 3286 4929 5088 6572 9858 13144 19716 26288 39432 52576 78864 157728 261059 522118 783177 1044236 1566354 2088472 3132708 4176944 6265416 8092829 8353888 12530832 13836127 16185658 24278487 25061664 27672254 32371316 41508381 48556974 55344508 64742632 83016762 97113948 110689016 129485264 166033524 194227896 221378032 258970528 332067048 388455792 428919937 442756064 664134096 776911584 857839874 1286759811 1328268192 1715679748 2573519622 3431359496 5147039244 6862718992 10294078488 13725437984 20588156976 41176313952