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96738407388 = 22327264784761
BaseRepresentation
bin101101000011000001…
…1101111001111011100
3100020200212101021022100
41122012003233033130
53041110013014023
6112235131445100
76663160616100
oct1320603571734
9306625337270
1096738407388
1138032344317
12168b95b6790
139178b8709c
144979c01900
1527b2c21c43
hex16860ef3dc

96738407388 has 108 divisors (see below), whose sum is σ = 284900000112. Its totient is φ = 27596499840.

The previous prime is 96738407383. The next prime is 96738407411. The reversal of 96738407388 is 88370483769.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96738407383) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1098928 + ... + 1183688.

It is an arithmetic number, because the mean of its divisors is an integer number (2637962964).

Almost surely, 296738407388 is an apocalyptic number.

96738407388 is a gapful number since it is divisible by the number (98) 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 96738407388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142450000056).

96738407388 is an abundant number, since it is smaller than the sum of its proper divisors (188161592724).

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

96738407388 is a wasteful number, since it uses less digits than its factorization.

96738407388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85432 (or 85420 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 96738407388 in words is "ninety-six billion, seven hundred thirty-eight million, four hundred seven thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 647 882 1294 1764 1941 2588 3882 4529 5823 7764 9058 11646 13587 18116 23292 27174 31703 40761 54348 63406 81522 84761 95109 126812 163044 169522 190218 254283 285327 339044 380436 508566 570654 593327 762849 1017132 1141308 1186654 1525698 1779981 2373308 3051396 3559962 4153289 5339943 7119924 8306578 10679886 12459867 16613156 21359772 24919734 37379601 49839468 54840367 74759202 109680734 149518404 164521101 219361468 329042202 383882569 493563303 658084404 767765138 987126606 1151647707 1535530276 1974253212 2303295414 2687177983 3454943121 4606590828 5374355966 6909886242 8061533949 10748711932 13819772484 16123067898 24184601847 32246135796 48369203694 96738407388