Search a number
-
+
137948593700 = 225219131554233
BaseRepresentation
bin1000000001111001100…
…0000111111000100100
3111012001212121122100002
42000132120013320210
54230004314444300
6143212301040432
712652331461631
oct2003630077044
9435055548302
10137948593700
115355a426235
122289a856118
1310015889408
146968dd1188
1538c5aa75d5
hex201e607e24

137948593700 has 72 divisors (see below), whose sum is σ = 317509573920. Its totient is φ = 51876115200.

The previous prime is 137948593687. The next prime is 137948593751. The reversal of 137948593700 is 7395849731.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28217 + ... + 526016.

Almost surely, 2137948593700 is an apocalyptic number.

137948593700 is a gapful number since it is divisible by the number (10) 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 137948593700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158754786960).

137948593700 is an abundant number, since it is smaller than the sum of its proper divisors (179560980220).

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

137948593700 is a wasteful number, since it uses less digits than its factorization.

137948593700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554397 (or 554390 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 56.

The spelling of 137948593700 in words is "one hundred thirty-seven billion, nine hundred forty-eight million, five hundred ninety-three thousand, seven hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 131 190 262 380 475 524 655 950 1310 1900 2489 2620 3275 4978 6550 9956 12445 13100 24890 49780 62225 124450 248900 554233 1108466 2216932 2771165 5542330 10530427 11084660 13855825 21060854 27711650 42121708 52652135 55423300 72604523 105304270 145209046 210608540 263260675 290418092 363022615 526521350 726045230 1053042700 1379485937 1452090460 1815113075 2758971874 3630226150 5517943748 6897429685 7260452300 13794859370 27589718740 34487148425 68974296850 137948593700