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151020151135104 = 2731313002149951
BaseRepresentation
bin100010010101101000011110…
…011101100101101110000000
3201210201101101222210221112210
4202111220132131211232000
5124243303232142310404
61253105411043222120
743544563062264426
oct4225503635455600
9653641358727483
10151020151135104
1144135317257219
1214b30873077940
1366361a6917b24
1429415b2c4b116
15126d5a9d17689
hex895a1e765b80

151020151135104 has 64 divisors (see below), whose sum is σ = 404209469537280. Its totient is φ = 49955775168000.

The previous prime is 151020151135097. The next prime is 151020151135121. The reversal of 151020151135104 is 401531151020151.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1510201511351042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1501024672 + ... + 1501125279.

It is an arithmetic number, because the mean of its divisors is an integer number (6315772961520).

Almost surely, 2151020151135104 is an apocalyptic number.

It is an amenable number.

151020151135104 is an abundant number, since it is smaller than the sum of its proper divisors (253189318402176).

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

151020151135104 is a wasteful number, since it uses less digits than its factorization.

151020151135104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3002150099 (or 3002150087 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 30.

The spelling of 151020151135104 in words is "one hundred fifty-one trillion, twenty billion, one hundred fifty-one million, one hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 262 384 393 524 786 1048 1572 2096 3144 4192 6288 8384 12576 16768 25152 50304 3002149951 6004299902 9006449853 12008599804 18012899706 24017199608 36025799412 48034399216 72051598824 96068798432 144103197648 192137596864 288206395296 384275193728 393281643581 576412790592 786563287162 1152825581184 1179844930743 1573126574324 2359689861486 3146253148648 4719379722972 6292506297296 9438759445944 12585012594592 18877518891888 25170025189184 37755037783776 50340050378368 75510075567552 151020151135104