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30620001152 = 2713196115877
BaseRepresentation
bin11100100001000110…
…000010001110000000
32221000221221020001202
4130201012002032000
51000202210014102
622022220520332
72132535500246
oct344106021600
987027836052
1030620001152
1111a93213084
125b266b00a8
132b6c9747a0
1416a691a796
15be3297e02
hex721182380

30620001152 has 128 divisors (see below), whose sum is σ = 70288730400. Its totient is φ = 13168189440.

The previous prime is 30620001151. The next prime is 30620001187. The reversal of 30620001152 is 25110002603.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30620001151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1920638 + ... + 1936514.

Almost surely, 230620001152 is an apocalyptic number.

30620001152 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 30620001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35144365200).

30620001152 is an abundant number, since it is smaller than the sum of its proper divisors (39668729248).

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

30620001152 is a wasteful number, since it uses less digits than its factorization.

30620001152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15984 (or 15972 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 30620001152 its reverse (25110002603), we get a palindrome (55730003755).

The spelling of 30620001152 in words is "thirty billion, six hundred twenty million, one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 61 64 76 104 122 128 152 208 244 247 304 416 488 494 608 793 832 976 988 1159 1216 1586 1664 1952 1976 2318 2432 3172 3904 3952 4636 6344 7808 7904 9272 12688 15067 15808 15877 18544 25376 30134 31616 31754 37088 50752 60268 63508 74176 101504 120536 127016 148352 206401 241072 254032 301663 412802 482144 508064 603326 825604 964288 968497 1016128 1206652 1651208 1928576 1936994 2032256 2413304 3302416 3873988 3921619 4826608 6604832 7747976 7843238 9653216 12590461 13209664 15495952 15686476 18401443 19306432 25180922 26419328 30991904 31372952 36802886 38612864 50361844 61983808 62745904 73605772 100723688 123967616 125491808 147211544 201447376 239218759 250983616 294423088 402894752 478437518 501967232 588846176 805789504 956875036 1177692352 1611579008 1913750072 2355384704 3827500144 7655000288 15310000576 30620001152