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96935833134 = 23373724128759
BaseRepresentation
bin101101001000111010…
…0110110111000101110
3100021012121212112112000
41122101310312320232
53042011033130014
6112310503153130
710001105662260
oct1322164667056
9307177775460
1096935833134
1138123829198
12169537457a6
1391aaa4c75a
144998113b30
1527c521d509
hex1691d36e2e

96935833134 has 128 divisors (see below), whose sum is σ = 253897881600. Its totient is φ = 26834664960.

The previous prime is 96935833121. The next prime is 96935833147. The reversal of 96935833134 is 43133853969.

It is an interprime number because it is at equal distance from previous prime (96935833121) and next prime (96935833147).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3356247 + ... + 3385005.

It is an arithmetic number, because the mean of its divisors is an integer number (1983577200).

Almost surely, 296935833134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96935833134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126948940800).

96935833134 is an abundant number, since it is smaller than the sum of its proper divisors (156962048466).

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

96935833134 is a wasteful number, since it uses less digits than its factorization.

96935833134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29055 (or 29049 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 54.

The spelling of 96935833134 in words is "ninety-six billion, nine hundred thirty-five million, eight hundred thirty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 241 259 333 378 482 518 666 723 777 999 1446 1554 1687 1998 2169 2331 3374 4338 4662 5061 6507 6993 8917 10122 13014 13986 15183 17834 26751 28759 30366 45549 53502 57518 62419 80253 86277 91098 124838 160506 172554 187257 201313 240759 258831 374514 402626 481518 517662 561771 603939 776493 1064083 1123542 1207878 1552986 1685313 1811817 2128166 3192249 3370626 3623634 5435451 6384498 6930919 7448581 9576747 10870902 13861838 14897162 19153494 20792757 22345743 28730241 41585514 44691486 48516433 57460482 62378271 67037229 97032866 124756542 134074458 145549299 187134813 201111687 256444003 291098598 374269626 402223374 436647897 512888006 769332009 873295794 1309943691 1538664018 1795108021 2307996027 2619887382 3590216042 4615992054 5385324063 6923988081 10770648126 13847976162 16155972189 32311944378 48467916567 96935833134