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60144013632 = 2633139725453
BaseRepresentation
bin111000000000110111…
…001101000101000000
312202020112120110022110
4320000313031011000
51441133331414012
643344010535320
74226265452343
oct700067150500
9182215513273
1060144013632
112356380069a
12b7a6137540
135896541361
142ca7a6045a
1518701ed73c
hexe00dcd140

60144013632 has 112 divisors (see below), whose sum is σ = 164684529152. Its totient is φ = 19351664640.

The previous prime is 60144013627. The next prime is 60144013637. The reversal of 60144013632 is 23631044106.

It is an interprime number because it is at equal distance from previous prime (60144013627) and next prime (60144013637).

It is a self number, because there is not a number n which added to its sum of digits gives 60144013632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60144013637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2350218 + ... + 2375670.

Almost surely, 260144013632 is an apocalyptic number.

60144013632 is a gapful number since it is divisible by the number (62) 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 60144013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82342264576).

60144013632 is an abundant number, since it is smaller than the sum of its proper divisors (104540515520).

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

60144013632 is a wasteful number, since it uses less digits than its factorization.

60144013632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25896 (or 25886 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 60144013632 its reverse (23631044106), we get a palindrome (83775057738).

The spelling of 60144013632 in words is "sixty billion, one hundred forty-four million, thirteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 397 496 744 794 992 1191 1488 1588 1984 2382 2976 3176 4764 5952 6352 9528 12307 12704 19056 24614 25408 25453 36921 38112 49228 50906 73842 76224 76359 98456 101812 147684 152718 196912 203624 295368 305436 393824 407248 590736 610872 787648 789043 814496 1181472 1221744 1578086 1628992 2362944 2367129 2443488 3156172 4734258 4886976 6312344 9468516 10104841 12624688 18937032 20209682 25249376 30314523 37874064 40419364 50498752 60629046 75748128 80838728 121258092 151496256 161677456 242516184 313250071 323354912 485032368 626500142 646709824 939750213 970064736 1253000284 1879500426 1940129472 2506000568 3759000852 5012001136 7518001704 10024002272 15036003408 20048004544 30072006816 60144013632