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151771968 = 26363253
BaseRepresentation
bin10010000101111…
…01101101000000
3101120120211000000
421002331231000
5302323200333
623021000000
73522016605
oct1102755500
9346524000
10151771968
1178742587
12429b3000
132559c5ca
141622a6ac
15d4ce713
hex90bdb40

151771968 has 98 divisors (see below), whose sum is σ = 451690994. Its totient is φ = 50575104.

The previous prime is 151771933. The next prime is 151771969. The reversal of 151771968 is 869177151.

151771968 is a `hidden beast` number, since 1 + 517 + 71 + 9 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 151585344 + 186624 = 12312^2 + 432^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151771969) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 45030 + ... + 48282.

Almost surely, 2151771968 is an apocalyptic number.

151771968 is a gapful number since it is divisible by the number (18) 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 151771968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225845497).

151771968 is an abundant number, since it is smaller than the sum of its proper divisors (299919026).

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

151771968 is an frugal number, since it uses more digits than its factorization.

151771968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283 (or 3258 counting only the distinct ones).

The product of its digits is 105840, while the sum is 45.

The square root of 151771968 is about 12319.5766161017. The cubic root of 151771968 is about 533.4133185594.

The spelling of 151771968 in words is "one hundred fifty-one million, seven hundred seventy-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3253 3888 5184 5832 6506 7776 9759 11664 13012 15552 19518 23328 26024 29277 39036 46656 52048 58554 78072 87831 104096 117108 156144 175662 208192 234216 263493 312288 351324 468432 526986 624576 702648 790479 936864 1053972 1405296 1580958 1873728 2107944 2371437 2810592 3161916 4215888 4742874 5621184 6323832 8431776 9485748 12647664 16863552 18971496 25295328 37942992 50590656 75885984 151771968