Search a number
-
+
201830953536 = 2632187192
BaseRepresentation
bin1011101111111000001…
…1111111001001000000
3201021221221112202120100
42323332003333021000
511301322211003121
6232415253442400
720403362540652
oct2737603771100
9637857482510
10201830953536
1178661347743
1233148940400
1316056759234
149aa93346d2
1553b4094026
hex2efe0ff240

201830953536 has 63 divisors (see below), whose sum is σ = 578542893331. Its totient is φ = 67273390464.

The previous prime is 201830953523. The next prime is 201830953549. The reversal of 201830953536 is 635359038102.

It is a happy number.

The square root of 201830953536 is 449256.

It is a perfect power (a square), and thus also a powerful number.

201830953536 is a `hidden beast` number, since 2 + 0 + 1 + 83 + 0 + 9 + 535 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (201830953523) and next prime (201830953549).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 201830953491 and 201830953500.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10772785 + ... + 10791503.

Almost surely, 2201830953536 is an apocalyptic number.

201830953536 is the 449256-th square number.

It is an amenable number.

201830953536 is an abundant number, since it is smaller than the sum of its proper divisors (376711939795).

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

201830953536 is an frugal number, since it uses more digits than its factorization.

201830953536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37456 (or 18724 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 201830953536 in words is "two hundred one billion, eight hundred thirty million, nine hundred fifty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 18719 37438 56157 74876 112314 149752 168471 224628 299504 336942 449256 599008 673884 898512 1198016 1347768 1797024 2695536 3594048 5391072 10782144 350400961 700801922 1051202883 1401603844 2102405766 2803207688 3153608649 4204811532 5606415376 6307217298 8409623064 11212830752 12614434596 16819246128 22425661504 25228869192 33638492256 50457738384 67276984512 100915476768 201830953536