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25152025152 = 2631011319901
BaseRepresentation
bin10111011011001011…
…010111001001000000
32101220212222021010010
4113123023113021000
5403002404301102
615315451104520
71550201454252
oct273313271100
971825867103
1025152025152
11a737731851
124a5b442140
1324aab94127
14130863bcd2
159c3201d6c
hex5db2d7240

25152025152 has 112 divisors (see below), whose sum is σ = 67726828224. Its totient is φ = 8236800000.

The previous prime is 25152025139. The next prime is 25152025309.

25152025152 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2535402 + ... + 2545302.

Almost surely, 225152025152 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 25152025152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33863414112).

25152025152 is an abundant number, since it is smaller than the sum of its proper divisors (42574803072).

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

25152025152 is a wasteful number, since it uses less digits than its factorization.

25152025152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10148 (or 10138 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

It can be divided in two parts, 251520 and 25152, that added together give a palindrome (276672).

The spelling of 25152025152 in words is "twenty-five billion, one hundred fifty-two million, twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 131 192 202 262 303 393 404 524 606 786 808 1048 1212 1572 1616 2096 2424 3144 3232 4192 4848 6288 6464 8384 9696 9901 12576 13231 19392 19802 25152 26462 29703 39604 39693 52924 59406 79208 79386 105848 118812 158416 158772 211696 237624 316832 317544 423392 475248 633664 635088 846784 950496 1000001 1270176 1297031 1900992 2000002 2540352 2594062 3000003 3891093 4000004 5188124 6000006 7782186 8000008 10376248 12000012 15564372 16000016 20752496 24000024 31128744 32000032 41504992 48000048 62257488 64000064 83009984 96000096 124514976 131000131 192000192 249029952 262000262 393000393 524000524 786000786 1048001048 1572001572 2096002096 3144003144 4192004192 6288006288 8384008384 12576012576 25152025152