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130464441630 = 232537259115121
BaseRepresentation
bin111100110000001001…
…0010110010100011110
3110110202021212022202200
41321200102112110132
54114142344113010
6135533505432330
712266013312405
oct1714022262436
9413667768680
10130464441630
1150369859a96
122135033b6a6
13c3c2189973
14645904663c
1535d8a05cc0
hex1e6049651e

130464441630 has 96 divisors (see below), whose sum is σ = 348532823808. Its totient is φ = 33834931200.

The previous prime is 130464441619. The next prime is 130464441641. The reversal of 130464441630 is 36144464031.

130464441630 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 644 + 4 + 1 + 6 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130464441619) and next prime (130464441641).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8620470 + ... + 8635590.

It is an arithmetic number, because the mean of its divisors is an integer number (3630550248).

Almost surely, 2130464441630 is an apocalyptic number.

130464441630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130464441630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174266411904).

130464441630 is an abundant number, since it is smaller than the sum of its proper divisors (218068382178).

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

130464441630 is a wasteful number, since it uses less digits than its factorization.

130464441630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17762 (or 17759 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 130464441630 in words is "one hundred thirty billion, four hundred sixty-four million, four hundred forty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 2591 3330 5182 7773 12955 15121 15546 23319 25910 30242 38865 45363 46638 75605 77730 90726 95867 116595 136089 151210 191734 226815 233190 272178 287601 453630 479335 559477 575202 680445 862803 958670 1118954 1360890 1438005 1678431 1725606 2797385 2876010 3356862 4314015 5035293 5594770 8392155 8628030 10070586 16784310 25176465 39178511 50352930 78357022 117535533 195892555 235071066 352606599 391785110 587677665 705213198 1175355330 1449604907 1763032995 2899209814 3526065990 4348814721 7248024535 8697629442 13046444163 14496049070 21744073605 26092888326 43488147210 65232220815 130464441630