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147235625516 = 227217130733809
BaseRepresentation
bin1000100100011111101…
…1010101101000101100
3112002001002210201222102
42021013323111220230
54403014310004031
6151350014234232
713431431111300
oct2110773255054
9462032721872
10147235625516
1157495743741
1224650ab5978
1310b65946905
1471aa5a1d00
153c6b0807cb
hex2247ed5a2c

147235625516 has 72 divisors (see below), whose sum is σ = 317613033360. Its totient is φ = 59341965312.

The previous prime is 147235625489. The next prime is 147235625527. The reversal of 147235625516 is 615526532741.

147235625516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4338020 + ... + 4371828.

It is an arithmetic number, because the mean of its divisors is an integer number (4411292130).

Almost surely, 2147235625516 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 147235625516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158806516680).

147235625516 is an abundant number, since it is smaller than the sum of its proper divisors (170377407844).

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

147235625516 is a wasteful number, since it uses less digits than its factorization.

147235625516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35151 (or 35142 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 47.

The spelling of 147235625516 in words is "one hundred forty-seven billion, two hundred thirty-five million, six hundred twenty-five thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1307 1666 2614 3332 5228 9149 18298 22219 33809 36596 44438 64043 67618 88876 128086 135236 155533 236663 256172 311066 473326 574753 622132 946652 1088731 1149506 1656641 2177462 2299012 3313282 4023271 4354924 6626564 8046542 16093084 28162897 44188363 56325794 88376726 112651588 176753452 309318541 618637082 751202171 1237274164 1502404342 2165229787 3004808684 4330459574 5258415197 8660919148 10516830394 21033660788 36808906379 73617812758 147235625516