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149372289648 = 24332336914073
BaseRepresentation
bin1000101100011101001…
…0000100001001110000
3112021120000022112011000
42023013102010021300
54421403301232043
6152342022322000
713535404340631
oct2130722041160
9467500275130
10149372289648
115839184406a
1224b48589300
1311116500b0a
147330273888
153d4393b2d3
hex22c7484270

149372289648 has 160 divisors (see below), whose sum is σ = 447626350080. Its totient is φ = 47601354240.

The previous prime is 149372289631. The next prime is 149372289701. The reversal of 149372289648 is 846982273941.

149372289648 is a `hidden beast` number, since 1 + 493 + 7 + 2 + 2 + 89 + 64 + 8 = 666.

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, 36671740 + ... + 36675812.

It is an arithmetic number, because the mean of its divisors is an integer number (2797664688).

Almost surely, 2149372289648 is an apocalyptic number.

149372289648 is a gapful number since it is divisible by the number (18) 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 149372289648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223813175040).

149372289648 is an abundant number, since it is smaller than the sum of its proper divisors (298254060432).

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

149372289648 is a wasteful number, since it uses less digits than its factorization.

149372289648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7804 (or 7792 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 149372289648 in words is "one hundred forty-nine billion, three hundred seventy-two million, two hundred eighty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 3691 4073 4968 7382 8146 9936 11073 12219 14764 16292 22146 24438 29528 32584 33219 36657 44292 48876 59056 65168 66438 73314 84893 88584 93679 97752 99657 109971 132876 146628 169786 177168 187358 195504 199314 219942 254679 265752 281037 293256 339572 374716 398628 439884 509358 531504 562074 586512 679144 749432 764037 797256 843111 879768 1018716 1124148 1358288 1498864 1528074 1594512 1686222 1759536 2037432 2248296 2292111 2529333 3056148 3372444 4074864 4496592 4584222 5058666 6112296 6744888 9168444 10117332 12224592 13489776 15033443 18336888 20234664 30066886 36673776 40469328 45100329 60133772 90200658 120267544 135300987 180401316 240535088 270601974 345769189 360802632 405902961 541203948 691538378 721605264 811805922 1037307567 1082407896 1383076756 1623611844 2074615134 2164815792 2766153512 3111922701 3247223688 4149230268 5532307024 6223845402 6494447376 8298460536 9335768103 12447690804 16596921072 18671536206 24895381608 37343072412 49790763216 74686144824 149372289648