Search a number
-
+
5154995952 = 2433173122643
BaseRepresentation
bin1001100110100001…
…01111111011110000
3111022021000221001000
410303100233323300
541024134332302
62211305242000
7241513512501
oct46320577360
914267027030
105154995952
112205951837
12bba493300
13641cb9782
1436c8caba8
1520287131c
hex13342fef0

5154995952 has 160 divisors (see below), whose sum is σ = 16173250560. Its totient is φ = 1565015040.

The previous prime is 5154995947. The next prime is 5154995971. The reversal of 5154995952 is 2595994515.

5154995952 is a `hidden beast` number, since 5 + 1 + 5 + 49 + 9 + 595 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216343 + ... + 238985.

It is an arithmetic number, because the mean of its divisors is an integer number (101082816).

Almost surely, 25154995952 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 5154995952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8086625280).

5154995952 is an abundant number, since it is smaller than the sum of its proper divisors (11018254608).

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

5154995952 is a wasteful number, since it uses less digits than its factorization.

5154995952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22708 (or 22696 counting only the distinct ones).

The product of its digits is 3645000, while the sum is 54.

The square root of 5154995952 is about 71798.3004812788. The cubic root of 5154995952 is about 1727.4657395420.

The spelling of 5154995952 in words is "five billion, one hundred fifty-four million, nine hundred ninety-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 31 34 36 48 51 54 62 68 72 93 102 108 124 136 144 153 186 204 216 248 272 279 306 372 408 432 459 496 527 558 612 744 816 837 918 1054 1116 1224 1488 1581 1674 1836 2108 2232 2448 3162 3348 3672 4216 4464 4743 6324 6696 7344 8432 9486 12648 13392 14229 18972 22643 25296 28458 37944 45286 56916 67929 75888 90572 113832 135858 181144 203787 227664 271716 362288 384931 407574 543432 611361 701933 769862 815148 1086864 1154793 1222722 1403866 1539724 1630296 2105799 2309586 2445444 2807732 3079448 3260592 3464379 4211598 4619172 4890888 5615464 6158896 6317397 6928758 8423196 9238344 9781776 10393137 11230928 11932861 12634794 13857516 16846392 18476688 18952191 20786274 23865722 25269588 27715032 33692784 35798583 37904382 41572548 47731444 50539176 55430064 71597166 75808764 83145096 95462888 101078352 107395749 143194332 151617528 166290192 190925776 214791498 286388664 303235056 322187247 429582996 572777328 644374494 859165992 1288748988 1718331984 2577497976 5154995952