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12937155552 = 2532238323531
BaseRepresentation
bin11000000110001110…
…10101001111100000
31020101121112121002100
430003013111033200
5202443402434202
65535424050400
7635411002446
oct140307251740
936347477070
1012937155552
1155397614a2
122610763a00
1312b236a139
148aa28ab96
1550ab8b41c
hex3031d53e0

12937155552 has 144 divisors (see below), whose sum is σ = 38853779328. Its totient is φ = 4075019520.

The previous prime is 12937155551. The next prime is 12937155593. The reversal of 12937155552 is 25555173921.

12937155552 is a `hidden beast` number, since 1 + 2 + 93 + 7 + 1 + 5 + 5 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 12937155498 and 12937155507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12937155551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538027 + ... + 561557.

It is an arithmetic number, because the mean of its divisors is an integer number (269817912).

Almost surely, 212937155552 is an apocalyptic number.

12937155552 is a gapful number since it is divisible by the number (12) 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 12937155552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19426889664).

12937155552 is an abundant number, since it is smaller than the sum of its proper divisors (25916623776).

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

12937155552 is a wasteful number, since it uses less digits than its factorization.

12937155552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23653 (or 23642 counting only the distinct ones).

The product of its digits is 472500, while the sum is 45.

The spelling of 12937155552 in words is "twelve billion, nine hundred thirty-seven million, one hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 83 92 96 138 144 166 184 207 249 276 288 332 368 414 498 552 664 736 747 828 996 1104 1328 1494 1656 1909 1992 2208 2656 2988 3312 3818 3984 5727 5976 6624 7636 7968 11454 11952 15272 17181 22908 23531 23904 30544 34362 45816 47062 61088 68724 70593 91632 94124 137448 141186 183264 188248 211779 274896 282372 376496 423558 541213 549792 564744 752992 847116 1082426 1129488 1623639 1694232 1953073 2164852 2258976 3247278 3388464 3906146 4329704 4870917 5859219 6494556 6776928 7812292 8659408 9741834 11718438 12989112 15624584 17318816 17577657 19483668 23436876 25978224 31249168 35155314 38967336 44920679 46873752 51956448 62498336 70310628 77934672 89841358 93747504 134762037 140621256 155869344 179682716 187495008 269524074 281242512 359365432 404286111 539048148 562485024 718730864 808572222 1078096296 1437461728 1617144444 2156192592 3234288888 4312385184 6468577776 12937155552