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81353554152 = 233131913998731
BaseRepresentation
bin100101111000100001…
…1001011100011101000
321202222200001202020020
41023301003023203220
52313103002213102
6101212345000440
75610005541423
oct1136103134350
9252880052206
1081353554152
1131557a62382
1213925183120
1378966a0b30
143d1a83a9ba
1521b223bbbc
hex12f10cb8e8

81353554152 has 128 divisors (see below), whose sum is σ = 232217664000. Its totient is φ = 23543550720.

The previous prime is 81353554151. The next prime is 81353554153. The reversal of 81353554152 is 25145535318.

It is an interprime number because it is at equal distance from previous prime (81353554151) and next prime (81353554153).

It is not an unprimeable number, because it can be changed into a prime (81353554151) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 774627 + ... + 873357.

It is an arithmetic number, because the mean of its divisors is an integer number (1814200500).

Almost surely, 281353554152 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 81353554152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116108832000).

81353554152 is an abundant number, since it is smaller than the sum of its proper divisors (150864109848).

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

81353554152 is a wasteful number, since it uses less digits than its factorization.

81353554152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98911 (or 98907 counting only the distinct ones).

The product of its digits is 360000, while the sum is 42.

The spelling of 81353554152 in words is "eighty-one billion, three hundred fifty-three million, five hundred fifty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 139 152 156 228 247 278 312 417 456 494 556 741 834 988 1112 1482 1668 1807 1976 2641 2964 3336 3614 5282 5421 5928 7228 7923 10564 10842 14456 15846 21128 21684 31692 34333 43368 63384 68666 98731 102999 137332 197462 205998 274664 296193 394924 411996 592386 789848 823992 1184772 1283503 1875889 2369544 2567006 3751778 3850509 5134012 5627667 7503556 7701018 10268024 11255334 13723609 15007112 15402036 22510668 24386557 27447218 30804072 41170827 45021336 48773114 54894436 73159671 82341654 97546228 109788872 146319342 164683308 178406917 195092456 260748571 292638684 329366616 356813834 521497142 535220751 585277368 713627668 782245713 1042994284 1070441502 1427255336 1564491426 2085988568 2140883004 3128982852 3389731423 4281766008 6257965704 6779462846 10169194269 13558925692 20338388538 27117851384 40676777076 81353554152