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153220332032 = 293174432131
BaseRepresentation
bin1000111010110010100…
…1001011101000000000
3112122111012002022221022
42032230221023220000
510002243401111112
6154215523245012
714032641222245
oct2165451135000
9478435068838
10153220332032
1159a86979289
1225841219768
13115aa7b9581
1475b734d5cc
153ebb696d72
hex23aca4ba00

153220332032 has 80 divisors (see below), whose sum is σ = 307944834912. Its totient is φ = 76160348160.

The previous prime is 153220331963. The next prime is 153220332059. The reversal of 153220332032 is 230233022351.

It is a junction number, because it is equal to n+sod(n) for n = 153220331992 and 153220332010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71899607 + ... + 71901737.

Almost surely, 2153220332032 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 153220332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153972417456).

153220332032 is an abundant number, since it is smaller than the sum of its proper divisors (154724502880).

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

153220332032 is an equidigital number, since it uses as much as digits as its factorization.

153220332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

Adding to 153220332032 its reverse (230233022351), we get a palindrome (383453354383).

The spelling of 153220332032 in words is "one hundred fifty-three billion, two hundred twenty million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 317 443 512 634 886 1268 1772 2131 2536 3544 4262 5072 7088 8524 10144 14176 17048 20288 28352 34096 40576 56704 68192 81152 113408 136384 140431 162304 226816 272768 280862 545536 561724 675527 944033 1091072 1123448 1351054 1888066 2246896 2702108 3776132 4493792 5404216 7552264 8987584 10808432 15104528 17975168 21616864 30209056 35950336 43233728 60418112 71900672 86467456 120836224 172934912 241672448 299258461 345869824 483344896 598516922 1197033844 2394067688 4788135376 9576270752 19152541504 38305083008 76610166016 153220332032