Search a number
-
+
42516501515150 = 252131074991225067
BaseRepresentation
bin10011010101011001001001…
…11110000100101110001110
312120112112112002111101202212
421222230210332010232032
521033042243341441100
6230231451113150422
711645500354015655
oct1152544476045616
9176475462441685
1042516501515150
111260216877a983
124927b963bb412
131a9539a8c8740
14a6db4998c19c
154dae4238a635
hex26ab24f84b8e

42516501515150 has 96 divisors (see below), whose sum is σ = 86132080944000. Its totient is φ = 15520508161920.

The previous prime is 42516501515149. The next prime is 42516501515161. The reversal of 42516501515150 is 5151510561524.

42516501515150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42516501515098 and 42516501515107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34092917 + ... + 35317983.

It is an arithmetic number, because the mean of its divisors is an integer number (897209176500).

Almost surely, 242516501515150 is an apocalyptic number.

42516501515150 is an abundant number, since it is smaller than the sum of its proper divisors (43615579428850).

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

42516501515150 is a wasteful number, since it uses less digits than its factorization.

42516501515150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225698 (or 1225693 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 41.

The spelling of 42516501515150 in words is "forty-two trillion, five hundred sixteen billion, five hundred one million, five hundred fifteen thousand, one hundred fifty".

Divisors: 1 2 5 10 13 25 26 50 65 107 130 214 325 499 535 650 998 1070 1391 2495 2675 2782 4990 5350 6487 6955 12475 12974 13910 24950 32435 34775 53393 64870 69550 106786 162175 266965 324350 533930 694109 1225067 1334825 1388218 2450134 2669650 3470545 6125335 6941090 12250670 15925871 17352725 30626675 31851742 34705450 61253350 79629355 131082169 159258710 262164338 398146775 611308433 655410845 796293550 1222616866 1310821690 1704068197 3056542165 3277054225 3408136394 6113084330 6554108450 7947009629 8520340985 15282710825 15894019258 17040681970 30565421650 39735048145 42601704925 65410002331 79470096290 85203409850 130820004662 198675240725 327050011655 397350481450 654100023310 850330030303 1635250058275 1700660060606 3270500116550 4251650151515 8503300303030 21258250757575 42516501515150