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151061651148 = 223234716371443
BaseRepresentation
bin1000110010101111111…
…0011101111011001100
3112102220202010222110110
42030223332131323030
54433333240314043
6153221411240020
713625306564052
oct2145376357314
9472822128413
10151061651148
11590794003a1
122533a2a9010
13113254c3cc5
14745078a1d2
153de1ddcb33
hex232bf9decc

151061651148 has 96 divisors (see below), whose sum is σ = 377937616896. Its totient is φ = 46849948992.

The previous prime is 151061651141. The next prime is 151061651189. The reversal of 151061651148 is 841156160151.

It is not an unprimeable number, because it can be changed into a prime (151061651141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2078715 + ... + 2150157.

It is an arithmetic number, because the mean of its divisors is an integer number (3936850176).

Almost surely, 2151061651148 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 151061651148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188968808448).

151061651148 is an abundant number, since it is smaller than the sum of its proper divisors (226875965748).

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

151061651148 is a wasteful number, since it uses less digits than its factorization.

151061651148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71683 (or 71681 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 39.

The spelling of 151061651148 in words is "one hundred fifty-one billion, sixty-one million, six hundred fifty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 46 47 69 92 94 138 141 163 188 276 282 326 489 564 652 978 1081 1956 2162 3243 3749 4324 6486 7498 7661 11247 12972 14996 15322 22494 22983 30644 44988 45966 71443 91932 142886 176203 214329 285772 352406 428658 528609 704812 857316 1057218 1643189 2114436 3286378 3357821 4929567 6572756 6715642 9859134 10073463 11645209 13431284 19718268 20146926 23290418 34935627 40293852 46580836 69871254 77229883 139742508 154459766 231689649 267839807 308919532 463379298 535679614 547324823 803519421 926758596 1071359228 1094649646 1607038842 1641974469 2189299292 3214077684 3283948938 6567897876 12588470929 25176941858 37765412787 50353883716 75530825574 151061651148