Search a number
-
+
151530138620 = 22576722037333
BaseRepresentation
bin1000110100011111100…
…1100110101111111100
3112111010101200121110022
42031013321212233330
54440313203413440
6153340104431312
713643025632540
oct2150771465774
9474111617408
10151530138620
11592998a3a23
122544b178538
131139b594823
147496a9ba20
153e1d0cdcb5
hex2347e66bfc

151530138620 has 96 divisors (see below), whose sum is σ = 369318179328. Its totient is φ = 51147562752.

The previous prime is 151530138619. The next prime is 151530138761. The reversal of 151530138620 is 26831035151.

It is a super-2 number, since 2×1515301386202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

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, 20660474 + ... + 20667806.

It is an arithmetic number, because the mean of its divisors is an integer number (3847064368).

Almost surely, 2151530138620 is an apocalyptic number.

151530138620 is a gapful number since it is divisible by the number (10) 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 151530138620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184659089664).

151530138620 is an abundant number, since it is smaller than the sum of its proper divisors (217788040708).

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

151530138620 is a wasteful number, since it uses less digits than its factorization.

151530138620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9619 (or 9617 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 151530138620 in words is "one hundred fifty-one billion, five hundred thirty million, one hundred thirty-eight thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 469 670 938 1340 1876 2203 2345 4406 4690 7333 8812 9380 11015 14666 15421 22030 29332 30842 36665 44060 51331 61684 73330 77105 102662 146660 147601 154210 205324 256655 295202 308420 491311 513310 590404 738005 982622 1026620 1033207 1476010 1965244 2066414 2456555 2952020 3439177 4132828 4913110 5166035 6878354 9826220 10332070 13756708 16154599 17195885 20664140 32309198 34391770 64618396 68783540 80772995 113082193 161545990 226164386 323091980 452328772 565410965 1082358133 1130821930 2164716266 2261643860 4329432532 5411790665 7576506931 10823581330 15153013862 21647162660 30306027724 37882534655 75765069310 151530138620