Search a number
-
+
153032822912 = 277124872
BaseRepresentation
bin1000111010000101110…
…1111001000010000000
3112122000010020212210002
42032201131321002000
510001402400313122
6154145144255132
714025203350364
oct2164135710200
9478003225702
10153032822912
11599a0047972
12257aa4714a8
131157a9b6828
14759a49d2a4
153ea9ea8992
hex23a1779080

153032822912 has 72 divisors (see below), whose sum is σ = 309860761455. Its totient is φ = 75283810560.

The previous prime is 153032822879. The next prime is 153032822927. The reversal of 153032822912 is 219228230351.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 76516411456 + 76516411456 = 276616^2 + 276616^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=276616.

It is a Duffinian number.

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, 314235533 + ... + 314236019.

Almost surely, 2153032822912 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 153032822912

153032822912 is an abundant number, since it is smaller than the sum of its proper divisors (156827938543).

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

153032822912 is an frugal number, since it uses more digits than its factorization.

153032822912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 153032822912 in words is "one hundred fifty-three billion, thirty-two million, eight hundred twenty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 487 568 974 1136 1948 2272 3896 4544 5041 7792 9088 10082 15584 20164 31168 34577 40328 62336 69154 80656 138308 161312 237169 276616 322624 474338 553232 645248 948676 1106464 1897352 2212928 2454967 3794704 4425856 4909934 7589408 9819868 15178816 16838999 19639736 30357632 33677998 39279472 67355996 78558944 134711992 157117888 269423984 314235776 538847968 1077695936 1195568929 2155391872 2391137858 4782275716 9564551432 19129102864 38258205728 76516411456 153032822912