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148131682672304 = 24137152639442733
BaseRepresentation
bin100001101011100110011000…
…010100110101111010110000
3201102111020202122210210112202
4201223212120110311322300
5123403442141231003204
61243014431111442332
743126106121405662
oct4153463024657260
9642436678723482
10148131682672304
11432213260a1181
1214744ab49863a8
1364869b0999966
14288187c6ca532
15121d3a1d94e1e
hex86b998535eb0

148131682672304 has 40 divisors (see below), whose sum is σ = 289102610177280. Its totient is φ = 73524566993408.

The previous prime is 148131682672301. The next prime is 148131682672307. The reversal of 148131682672304 is 403276286131841.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (148131682672301) and next prime (148131682672307).

It is a super-2 number, since 2×1481316826723042 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 148131682672304.

It is not an unprimeable number, because it can be changed into a prime (148131682672301) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 334363322 + ... + 334806054.

It is an arithmetic number, because the mean of its divisors is an integer number (7227565254432).

Almost surely, 2148131682672304 is an apocalyptic number.

It is an amenable number.

148131682672304 is a deficient number, since it is larger than the sum of its proper divisors (140970927504976).

148131682672304 is a wasteful number, since it uses less digits than its factorization.

148131682672304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595517 (or 595511 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 56.

The spelling of 148131682672304 in words is "one hundred forty-eight trillion, one hundred thirty-one billion, six hundred eighty-two million, six hundred seventy-two thousand, three hundred four".

Divisors: 1 2 4 8 16 137 274 548 1096 2192 152639 305278 442733 610556 885466 1221112 1770932 2442224 3541864 7083728 20911543 41823086 60654421 83646172 121308842 167292344 242617684 334584688 485235368 970470736 67578322387 135156644774 270313289548 540626579096 1081253158192 9258230167019 18516460334038 37032920668076 74065841336152 148131682672304