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97045800432 = 24371717398207
BaseRepresentation
bin101101001100001100…
…0010110010111110000
3100021111021210110021220
41122120120112113300
53042222211103212
6112325432145040
710003612456530
oct1323030262760
9307437713256
1097045800432
113817a908259
1216984538180
1391c7772c69
1449a897b4c0
1527cebe138c
hex16986165f0

97045800432 has 160 divisors (see below), whose sum is σ = 305126756352. Its totient is φ = 25945239552.

The previous prime is 97045800431. The next prime is 97045800479. The reversal of 97045800432 is 23400854079.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97045800431) 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, 939073 + ... + 1037279.

Almost surely, 297045800432 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 97045800432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152563378176).

97045800432 is an abundant number, since it is smaller than the sum of its proper divisors (208080955920).

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

97045800432 is a wasteful number, since it uses less digits than its factorization.

97045800432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98415 (or 98409 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 97045800432 in words is "ninety-seven billion, forty-five million, eight hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 173 204 238 272 336 346 357 408 476 519 692 714 816 952 1038 1211 1384 1428 1904 2076 2422 2768 2856 2941 3633 4152 4844 5712 5882 7266 8304 8823 9688 11764 14532 17646 19376 20587 23528 29064 35292 41174 47056 58128 61761 70584 82348 98207 123522 141168 164696 196414 247044 294621 329392 392828 494088 589242 687449 785656 988176 1178484 1374898 1571312 1669519 2062347 2356968 2749796 3339038 4124694 4713936 5008557 5499592 6678076 8249388 10017114 10999184 11686633 13356152 16498776 16989811 20034228 23373266 26712304 32997552 33979622 35059899 40068456 46746532 50969433 67959244 70119798 80136912 93493064 101938866 118928677 135918488 140239596 186986128 203877732 237857354 271836976 280479192 288826787 356786031 407755464 475714708 560958384 577653574 713572062 815510928 866480361 951429416 1155307148 1427144124 1732960722 1902858832 2021787509 2310614296 2854288248 3465921444 4043575018 4621228592 5708576496 6065362527 6931842888 8087150036 12130725054 13863685776 16174300072 24261450108 32348600144 48522900216 97045800432