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49632023340 = 22325797394723
BaseRepresentation
bin101110001110010011…
…001001001100101100
311202002221102000112200
4232032103021030230
51303121244221330
634444534301500
73404633144334
oct561623111454
9152087360480
1049632023340
111a059a8a809
1297517b7890
1348ac761363
14258b9040c4
151457409a60
hexb8e4c932c

49632023340 has 144 divisors (see below), whose sum is σ = 152694796800. Its totient is φ = 13047225984.

The previous prime is 49632023339. The next prime is 49632023377. The reversal of 49632023340 is 4332023694.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 49632023295 and 49632023304.

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, 10506219 + ... + 10510941.

Almost surely, 249632023340 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 49632023340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76347398400).

49632023340 is an abundant number, since it is smaller than the sum of its proper divisors (103062773460).

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

49632023340 is a wasteful number, since it uses less digits than its factorization.

49632023340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556 (or 5551 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 49632023340 in words is "forty-nine billion, six hundred thirty-two million, twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 474 711 739 790 948 1185 1422 1478 1580 2217 2370 2844 2956 3555 3695 4434 4723 4740 6651 7110 7390 8868 9446 11085 13302 14169 14220 14780 18892 22170 23615 26604 28338 33255 42507 44340 47230 56676 58381 66510 70845 85014 94460 116762 133020 141690 170028 175143 212535 233524 283380 291905 350286 373117 425070 525429 583810 700572 746234 850140 875715 1050858 1119351 1167620 1492468 1751430 1865585 2101716 2238702 2627145 3358053 3490297 3502860 3731170 4477404 5254290 5596755 6716106 6980594 7462340 10470891 10508580 11193510 13432212 13961188 16790265 17451485 20941782 22387020 31412673 33580530 34902970 41883564 52354455 62825346 67161060 69805940 104708910 125650692 157063365 209417820 275733463 314126730 551466926 628253460 827200389 1102933852 1378667315 1654400778 2481601167 2757334630 3308801556 4136001945 4963202334 5514669260 8272003890 9926404668 12408005835 16544007780 24816011670 49632023340