Search a number
-
+
150132279968 = 25114577971171
BaseRepresentation
bin1000101111010010010…
…1001100101010100000
3112100111222101000212122
42023310211030222200
54424432330424333
6152545251443412
713563263216066
oct2136445145240
9470458330778
10150132279968
1158741838040
122511abb6568
1311207ab5928
1473a3186036
153d8a50d798
hex22f494caa0

150132279968 has 96 divisors (see below), whose sum is σ = 323830519488. Its totient is φ = 67949107200.

The previous prime is 150132279967. The next prime is 150132279971. The reversal of 150132279968 is 869972231051.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (150132279967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128208023 + ... + 128209193.

It is an arithmetic number, because the mean of its divisors is an integer number (3373234578).

Almost surely, 2150132279968 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 150132279968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161915259744).

150132279968 is an abundant number, since it is smaller than the sum of its proper divisors (173698239520).

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

150132279968 is a wasteful number, since it uses less digits than its factorization.

150132279968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 53.

The spelling of 150132279968 in words is "one hundred fifty billion, one hundred thirty-two million, two hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 457 797 914 1171 1594 1828 2342 3188 3656 4684 5027 6376 7312 8767 9368 10054 12752 12881 14624 17534 18736 20108 25504 25762 35068 37472 40216 51524 70136 80432 103048 140272 160864 206096 280544 364229 412192 535147 728458 933287 1070294 1456916 1866574 2140588 2913832 3733148 4006519 4281176 5827664 5886617 7466296 8013038 8562352 10266157 11655328 11773234 14932592 16026076 17124704 20532314 23546468 29865184 32052152 41064628 47092936 64104304 82129256 94185872 128208608 164258512 188371744 328517024 426512159 853024318 1706048636 3412097272 4691633749 6824194544 9383267498 13648389088 18766534996 37533069992 75066139984 150132279968