Search a number
-
+
30016632512 = 267110136521
BaseRepresentation
bin11011111101001000…
…010111011011000000
32212110220120220220002
4123331020113123000
5442433224220022
621442304335132
72111561111066
oct337510273300
985426526802
1030016632512
1111803674309
1259986144a8
132aa4969819
14164a738036
15baa312092
hex6fd2176c0

30016632512 has 56 divisors (see below), whose sum is σ = 60472088352. Its totient is φ = 14780057600.

The previous prime is 30016632431. The next prime is 30016632533. The reversal of 30016632512 is 21523661003.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

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, 4599812 + ... + 4606332.

Almost surely, 230016632512 is an apocalyptic number.

30016632512 is a gapful number since it is divisible by the number (32) 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 30016632512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30236044176).

30016632512 is an abundant number, since it is smaller than the sum of its proper divisors (30455455840).

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

30016632512 is a wasteful number, since it uses less digits than its factorization.

30016632512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7617 (or 7607 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The spelling of 30016632512 in words is "thirty billion, sixteen million, six hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 1013 1136 2026 2272 4052 4544 6521 8104 13042 16208 26084 32416 52168 64832 71923 104336 143846 208672 287692 417344 462991 575384 925982 1150768 1851964 2301536 3703928 4603072 6605773 7407856 13211546 14815712 26423092 29631424 52846184 105692368 211384736 422769472 469009883 938019766 1876039532 3752079064 7504158128 15008316256 30016632512