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75381091104 = 2531126796857
BaseRepresentation
bin100011000110100010…
…0000010101100100000
321012120102211012011010
41012031010002230200
52213340024403404
654343554220520
75306004462624
oct1061504025440
9235512735133
1075381091104
1129a7272a500
1212738b84740
137154226c27
143911559184
151e62c43189
hex118d102b20

75381091104 has 144 divisors (see below), whose sum is σ = 220747905504. Its totient is φ = 22501585920.

The previous prime is 75381091103. The next prime is 75381091117. The reversal of 75381091104 is 40119018357.

It is not an unprimeable number, because it can be changed into a prime (75381091103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729844 + ... + 826700.

It is an arithmetic number, because the mean of its divisors is an integer number (1532971566).

Almost surely, 275381091104 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 75381091104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110373952752).

75381091104 is an abundant number, since it is smaller than the sum of its proper divisors (145366814400).

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

75381091104 is a wasteful number, since it uses less digits than its factorization.

75381091104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96959 (or 96940 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 75381091104 in words is "seventy-five billion, three hundred eighty-one million, ninety-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 67 88 96 121 132 134 176 201 242 264 268 352 363 402 484 528 536 726 737 804 968 1056 1072 1452 1474 1608 1936 2144 2211 2904 2948 3216 3872 4422 5808 5896 6432 8107 8844 11616 11792 16214 17688 23584 24321 32428 35376 48642 64856 70752 96857 97284 129712 193714 194568 259424 290571 387428 389136 581142 774856 778272 1065427 1162284 1549712 2130854 2324568 3099424 3196281 4261708 4649136 6392562 6489419 8523416 9298272 11719697 12785124 12978838 17046832 19468257 23439394 25570248 25957676 34093664 35159091 38936514 46878788 51140496 51915352 70318182 71383609 77873028 93757576 102280992 103830704 140636364 142767218 155746056 187515152 207661408 214150827 281272728 285534436 311492112 375030304 428301654 562545456 571068872 622984224 785219699 856603308 1125090912 1142137744 1570439398 1713206616 2284275488 2355659097 3140878796 3426413232 4711318194 6281757592 6852826464 9422636388 12563515184 18845272776 25127030368 37690545552 75381091104