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13053403152 = 2433281293367
BaseRepresentation
bin11000010100000101…
…10010000000010000
31020200201021120211000
430022002302000100
5203213132400102
65555135422000
7641322044646
oct141202620020
936621246730
1013053403152
11559933aa99
122643684900
13130047c0ba
148bb8ab196
15515ea001c
hex30a0b2010

13053403152 has 160 divisors (see below), whose sum is σ = 37832578560. Its totient is φ = 4309079040.

The previous prime is 13053403133. The next prime is 13053403159. The reversal of 13053403152 is 25130435031.

13053403152 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 340 + 315 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (13053403159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35567673 + ... + 35568039.

It is an arithmetic number, because the mean of its divisors is an integer number (236453616).

Almost surely, 213053403152 is an apocalyptic number.

13053403152 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 13053403152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18916289280).

13053403152 is an abundant number, since it is smaller than the sum of its proper divisors (24779175408).

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

13053403152 is a wasteful number, since it uses less digits than its factorization.

13053403152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 13053403152 its reverse (25130435031), we get a palindrome (38183838183).

The spelling of 13053403152 in words is "thirteen billion, fifty-three million, four hundred three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 281 293 367 432 562 586 734 843 879 1101 1124 1172 1468 1686 1758 2202 2248 2344 2529 2637 2936 3303 3372 3516 4404 4496 4688 5058 5274 5872 6606 6744 7032 7587 7911 8808 9909 10116 10548 13212 13488 14064 15174 15822 17616 19818 20232 21096 26424 30348 31644 39636 40464 42192 52848 60696 63288 79272 82333 103127 107531 121392 126576 158544 164666 206254 215062 246999 309381 322593 329332 412508 430124 493998 618762 645186 658664 740997 825016 860248 928143 967779 987996 1237524 1290372 1317328 1481994 1650032 1720496 1856286 1935558 1975992 2222991 2475048 2580744 2784429 2903337 2963988 3712572 3871116 3951984 4445982 4950096 5161488 5568858 5806674 5927976 7425144 7742232 8891964 11137716 11613348 11855952 14850288 15484464 17783928 22275432 23226696 30216211 35567856 44550864 46453392 60432422 90648633 120864844 181297266 241729688 271945899 362594532 483459376 543891798 725189064 815837697 1087783596 1450378128 1631675394 2175567192 3263350788 4351134384 6526701576 13053403152