Search a number
-
+
153649225536 = 26319331127247
BaseRepresentation
bin1000111100011000110…
…1010001111101000000
3112200121002010101012220
42033012031101331000
510004133200204121
6154330244051040
714046366603522
oct2170615217500
9480532111186
10153649225536
115a186a89324
1225940993a80
1311648606301
1476182b5a12
153ee41666c6
hex23c6351f40

153649225536 has 112 divisors (see below), whose sum is σ = 429222773760. Its totient is φ = 48373839360.

The previous prime is 153649225511. The next prime is 153649225619. The reversal of 153649225536 is 635522946351.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1143865 + ... + 1271111.

Almost surely, 2153649225536 is an apocalyptic number.

153649225536 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 153649225536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214611386880).

153649225536 is an abundant number, since it is smaller than the sum of its proper divisors (275573548224).

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

153649225536 is a wasteful number, since it uses less digits than its factorization.

153649225536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127612 (or 127602 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 51.

It can be divided in two parts, 1536492 and 25536, that added together give a triangular number (1562028 = T1767).

The spelling of 153649225536 in words is "one hundred fifty-three billion, six hundred forty-nine million, two hundred twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 331 456 608 662 912 993 1216 1324 1824 1986 2648 3648 3972 5296 6289 7944 10592 12578 15888 18867 21184 25156 31776 37734 50312 63552 75468 100624 127247 150936 201248 254494 301872 381741 402496 508988 603744 763482 1017976 1207488 1526964 2035952 2417693 3053928 4071904 4835386 6107856 7253079 8143808 9670772 12215712 14506158 19341544 24431424 29012316 38683088 42118757 58024632 77366176 84237514 116049264 126356271 154732352 168475028 232098528 252712542 336950056 464197056 505425084 673900112 800256383 1010850168 1347800224 1600512766 2021700336 2400769149 2695600448 3201025532 4043400672 4801538298 6402051064 8086801344 9603076596 12804102128 19206153192 25608204256 38412306384 51216408512 76824612768 153649225536