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155009033856 = 273453282089
BaseRepresentation
bin1001000001011101000…
…0100010011010000000
3112211002211211210120000
42100113100202122000
510014424303040411
6155113221320000
714125161022335
oct2202720423200
9484084753500
10155009033856
115a814616456
1226060266000
1311804251c11
147706b2498c
15407371c956
hex2417422680

155009033856 has 160 divisors (see below), whose sum is σ = 470009895300. Its totient is φ = 50694598656.

The previous prime is 155009033831. The next prime is 155009033873. The reversal of 155009033856 is 658330900551.

155009033856 is a `hidden beast` number, since 1 + 5 + 500 + 90 + 3 + 3 + 8 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 148212680256 + 6796353600 = 384984^2 + 82440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 408460 + ... + 690548.

Almost surely, 2155009033856 is an apocalyptic number.

155009033856 is a gapful number since it is divisible by the number (16) 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 155009033856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235004947650).

155009033856 is an abundant number, since it is smaller than the sum of its proper divisors (315000861444).

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

155009033856 is an equidigital number, since it uses as much as digits as its factorization.

155009033856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282168 (or 282147 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 155009033856 in words is "one hundred fifty-five billion, nine million, thirty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 81 96 106 108 128 144 159 162 192 212 216 288 318 324 384 424 432 477 576 636 648 848 864 954 1152 1272 1296 1431 1696 1728 1908 2544 2592 2862 3392 3456 3816 4293 5088 5184 5724 6784 7632 8586 10176 10368 11448 15264 17172 20352 22896 30528 34344 45792 61056 68688 91584 137376 183168 274752 282089 549504 564178 846267 1128356 1692534 2256712 2538801 3385068 4513424 5077602 6770136 7616403 9026848 10155204 13540272 14950717 15232806 18053696 20310408 22849209 27080544 29901434 30465612 36107392 40620816 44852151 45698418 54161088 59802868 60931224 81241632 89704302 91396836 108322176 119605736 121862448 134556453 162483264 179408604 182793672 239211472 243724896 269112906 324966528 358817208 365587344 403669359 478422944 487449792 538225812 717634416 731174688 807338718 956845888 974899584 1076451624 1211008077 1435268832 1462349376 1614677436 1913691776 2152903248 2422016154 2870537664 2924698752 3229354872 4305806496 4844032308 5741075328 6458709744 8611612992 9688064616 12917419488 17223225984 19376129232 25834838976 38752258464 51669677952 77504516928 155009033856