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97012702072 = 2311131917325799
BaseRepresentation
bin101101001011001101…
…0000101101101111000
3100021101222111212212201
41122112122011231320
53042140222431242
6112322250515544
710003031235046
oct1322632055570
9307358455781
1097012702072
1138163160a40
1216975435bb4
1391c0954930
1449a4403396
1527cbd544b7
hex1696685b78

97012702072 has 128 divisors (see below), whose sum is σ = 226255680000. Its totient is φ = 38337891840.

The previous prime is 97012702063. The next prime is 97012702079. The reversal of 97012702072 is 27020721079.

It is a super-2 number, since 2×970127020722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97012702079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3747429 + ... + 3773227.

It is an arithmetic number, because the mean of its divisors is an integer number (1767622500).

Almost surely, 297012702072 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 97012702072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113127840000).

97012702072 is an abundant number, since it is smaller than the sum of its proper divisors (129242977928).

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

97012702072 is a wasteful number, since it uses less digits than its factorization.

97012702072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26021 (or 26017 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 37.

The spelling of 97012702072 in words is "ninety-seven billion, twelve million, seven hundred two thousand, seventy-two".

Divisors: 1 2 4 8 11 13 19 22 26 38 44 52 76 88 104 143 152 173 209 247 286 346 418 494 572 692 836 988 1144 1384 1672 1903 1976 2249 2717 3287 3806 4498 5434 6574 7612 8996 10868 13148 15224 17992 21736 24739 25799 26296 36157 42731 49478 51598 72314 85462 98956 103196 144628 170924 197912 206392 283789 289256 335387 341848 470041 490181 567578 670774 940082 980362 1135156 1341548 1880164 1960724 2270312 2683096 3689257 3760328 3921448 4463227 5391991 6372353 7378514 8926454 10783982 12744706 14757028 17852908 21567964 25489412 29514056 35705816 43135928 49095497 50978824 58021951 70095883 84801313 98190994 116043902 140191766 169602626 196381988 232087804 280383532 339205252 392763976 464175608 560767064 638241461 678410504 932814443 1102417069 1276482922 1865628886 2204834138 2552965844 3731257772 4409668276 5105931688 7462515544 8819336552 12126587759 24253175518 48506351036 97012702072