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130050093972 = 223194733593613
BaseRepresentation
bin111100100011110010…
…1101111001110010100
3110102200102012021122010
41321013211233032110
54112320311001342
6135424424504220
712252522362631
oct1710745571624
9412612167563
10130050093972
1150176984507
122125561b070
13c357393936
146419dc9188
1535b245b29c
hex1e4796f394

130050093972 has 96 divisors (see below), whose sum is σ = 326404915200. Its totient is φ = 40171565952.

The previous prime is 130050093961. The next prime is 130050093977. The reversal of 130050093972 is 279390050031.

It is a self number, because there is not a number n which added to its sum of digits gives 130050093972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130050093977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35993238 + ... + 35996850.

It is an arithmetic number, because the mean of its divisors is an integer number (3400051200).

Almost surely, 2130050093972 is an apocalyptic number.

130050093972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130050093972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163202457600).

130050093972 is an abundant number, since it is smaller than the sum of its proper divisors (196354821228).

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

130050093972 is a wasteful number, since it uses less digits than its factorization.

130050093972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7045 (or 7043 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 39.

The spelling of 130050093972 in words is "one hundred thirty billion, fifty million, ninety-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 38 47 57 76 94 114 141 188 228 282 564 893 1786 2679 3359 3572 3613 5358 6718 7226 10077 10716 10839 13436 14452 20154 21678 40308 43356 63821 68647 127642 137294 157873 169811 191463 205941 255284 274588 315746 339622 382926 411882 473619 509433 631492 679244 765852 823764 947238 1018866 1894476 2037732 2999587 3226409 5999174 6452818 8998761 9679227 11998348 12136067 12905636 17997522 19358454 24272134 35995044 36408201 38716908 48544268 72816402 145632804 230585273 461170546 570395149 691755819 922341092 1140790298 1383511638 1711185447 2281580596 2767023276 3422370894 6844741788 10837507831 21675015662 32512523493 43350031324 65025046986 130050093972